Education

1965 B. A. (summa cum laude) University of Michigan 1966 M. S. University of Chicago

1969 Ph.D. University of Chicago

Academic Positions

1969 – 70 DePaul University (Assistant Professor)

1970 – University of Southern California (Assistant Professor 1970-75, Associate Professor 1975-82, Professor 1982-present, Chair 1996-99)

2017 – 20 Gabilan Distinguished Professor of Science and Engineering.

Visiting Positions

1973 Visiting Assistant Professor, Hebrew University, Jerusalem (February-May)

1977 Visiting Associate Professor, University of Chicago (February-August); Visiting Research Associate, University of Leeds (September 1 – October 15); Fellow, Institute for Advanced Studies, Hebrew University (Oct. 15 – Jan. 15, 1978)

1981 Visiting Research Associate, University of Leeds (April-June)

1985 Visiting Scholar, UC San Diego (February-March); Member, MSRI, Berkeley (April- June); Honorary Fellow, University of Wisconsin, Madison (September-December)

1988 Visiting Professor, University of New South Wales, Sydney (July) 1993 Member, MSRI, Berkeley (June)

1996 Gastprofessor, Mathematisches Institut, University of Munich, Germany (January- June)

1999-2000 Co-organizer and member, Non-commutative Algebra Year, MSRI, Berkeley 2004 Member, Mittag-Lefer Institute, Sweden (March-April)

Awards and Recognition

1964 Phi Beta Kappa (junior year) 1965 Woodrow Wilson Fellow

1965-69 NSF Graduate Fellow

1984 AMS Invited Address, Louisville, January

1984-85 John S. Guggenheim Memorial Foundation Fellow

1987 Albert S. Raubenheimer Distinguished Faculty Award, Division of Natural Sciences and Mathematics, University of Southern California.

1992 CBMS Principal Lecturer, De Paul University, Chicago

1995 Invited Address, joint meeting of the AMS and the Israel Math Union, Jerusalem 2005 AMS Invited Address, Bowling Green, Kentucky, March

2009 Plenary Lecture, Canadian Math Society Summer Meeting, Newfoundland 2011 Noether Lecturer, AMS Joint Math Meetings, New Orleans

2012 Selected as a Fellow of the American Math Society

2012 Elected a Fellow of the American Association for the Advancement of Science 2018 Special Session in honor of my 75th birthday, AMS Joint Math Meeting, San Diego

Research Grants

1971-2017 NSF Summer Research Grant (sole PI since 1979). Last three grants: DMS 0701291 ($211,000), DMS 1001547 ($160,000), DMS 1301860 ($180,000).

1981-83 US-Israel Binational Science Foundation Research Grant; Co-investigator M.

Cohen, Ben Gurion University, Beersheva, Israel

1999 NSA grant for Hopf Algebras Workshop at MSRI (awarded through MSRI)

2005 NSA travel grant for US participants in the XVI Colloquio Latinamericano de Algebra, Colonia, Uruguay. PI was Frank Sottile at Texas A&M; co-PIs were Joseph Wolf at UC Berkeley and myself.

2007-2018 NSF Grants for Intercampus Workshop Program: Lie groups, Lie algebras, and their representations. Most recent grant: 2016 ($50,000). PI is Geofrey Mason at UC Santa Cruz; co-PIs are Joseph Wolf at UC Berkeley and myself.

Ph D students (all at USC) (post-doc placement; last known position)

Phillip Lestmann 1977; Professor and Chair, Dept of Mathematics, Bryan College, Day- ton, TN.

Danny Ta-ming Chi 1984; President, Cyclonics Inc, Fremont, CA.

Maria Angelone Lorenz 1991; Professor of Mathematics (Instruction), Temple University, Philadelphia.

Horia Pop 1995; Visiting Assistant Professor, University of Iowa, 1995-1997; Professor of Mathematics, Mt. San Antonio College, Pomona, CA.

Ioana Boca 1995; Lecturer, University of Illinois, Urbana.; Teaching Associate, University of Illinois Urbana Lab High School, 2006 – present.

Min Ouyang 1997; Senior Staf Algorithm Engineer, KLA-Tencor Corp, San Jose. Yevgenia (Jane) Kashina 1999; MSRI Postdoctoral Fellowship 1999-00; Professor, De

Paul University, Chicago.

Vitaly Linchenko 2001; computer programmer for Dobrynya Ltd, in Russia.

Andrea Jedwab 2008; Visiting Assistant Professor, Claremont McKenna College, Pomona, 2008-2009; Lecturer, St. Mary’s College, CA.

Marc Keilberg 2010; Lecturer, UC San Diego, 2010-2011; Post-Doc, University of Bour- gogne, Dijon, 2013; Lecturer, Hope College, Michigan 2014 – 2015

Rebecca Courter 2012; Tenured Assistant Professor, Pasadena City College.

Joseph Timmer 2014; Post-doc, Louisiana State University 2014-2015; Lecturer (long- term), University of Colorado, 2015 – .

Henry Tucker 2016; RTG Post-Doc, UC San Diego, 2016-2019; Visiting Assistant Pro- fessor UC Riverside 2019 – 2022

Kayla Orlinsky 2023; Lecturer, USC.

Recent Post-docs (with current placement)

  • Peter Schauenburg, Visiting Assistant Professor 1995 (Professor, Universite de Bour- gogne, Dijon, France).
  • Mikhail Kotchetov, NSERC Postdoctoral Fellow 2006 (Professor, Memorial University, Johns, Newfoundland, Canada).
  • Zachary Mesyan, Lecturer 2006-2008 (Professor and Chair, University of Colorado at Colorado Springs).
  • Miodrag Iovanov, Assistant Professor (NTT) 2009 – 2012 (Associate Professor, University of Iowa).
    Maria Vega, Alliance Post-doctoral Fellow, Fall 2013; Visiting Assistant Professor, West Point (Assistant Professor, St Augustine’s University)
  • Guangbing Zhuang, Assistant Professor (NTT) 2013 – 2016 (Lecturer, California State University Dominguez Hills, 2017- 2018).
  • Jincheng Dong, Post-doc from the Chinese government 2014 – 2015 (Nanjing Agricultural University).

Professional Activities

    1. Editorial Boards
      Associate Editor, American Math Monthly, 1978-81. Editorial Committee, AMS Notices, 1979-82.
      Editorial Committee, AMS Math Surveys and Monographs, 1983-90 (Chair, 89-90). Editorial Board, Communications in Algebra, 1986-88
      Coordinating Editor for Algebra and Number Theory, Proceedings of the AMS, 1992 – January 1996.
      Editorial Board, Advances in Math, 1995 – 2002 Editorial Board, Algebra Colloquium, 1996 – 2002 Editorial Board, Journal of Algebra, 1988 – 2007
      Editorial Board, Algebras and Representation Theory, 1998 – 2017 Editorial Board, Algebra and Number Theory, 2007- 2020
    2. Meeting Organization
      Co-organizer, Special Session on Ring Theory, AMS Annual Meeting, Louisville, 1984. Chair, Organizing Committee, AMS-IMS-SIAM Joint Summer Research Conference on
      Group Actions on Rings, Brunswick, Maine, July 8-14, 1984.
      Organizing Committee, MSRI Microprogram on Non-commutative rings, Berkeley, 1989 Co-organizer, Special Session on Hopf algebras, AMS Annual Meeting, San Francisco, 1991.
      Organizing Committee, International Conference in Algebra in honor of A. I. Shirshov, Barnaul, USSR, 1991.
      Overall Program Committee Member and Coorganizer of the Special Session on Algebra, Joint AMS-Benelux Math Societies meeting, Antwerp, Belgium, May 22-25, 1996.
      Co-organizer, Special Session on Hopf Algebras, AMS meeting in Pasadena, November, 1996.
      Organizing Committee, Non-Commutative Algebra Year, MSRI, Berkeley, 1999-2000. Chair, Organizing Committee, Hopf Algebras Workshop, MSRI, Berkeley, 1999.
      Organizing Committee, MSRI-UNAM meeting on Quantum Groups, Morelia, Mexico, 2000
      Co-organizer of the AMS Special Session on Hopf Algebras, Courant Institute, New York City, 2003.
      Co-organizer of the Canadian Math Society Special Session on Hopf Algebras and Related Topics, Halifax, Nova Scotia, June 2004.
      Co-organizer of the AMS Special Session on Hopf Algebras and Quantum Groups, Joint Meeting of the AMS with the Deutsche Mathematiker-Vereinigung (DMV) and the O¨ sterreichische Mathematische Gesellshaft (O¨ MG) in Mainz, Germany, June 2005.
      Program Committee Member for the Joint Meeting of the AMS and the Sociedad Mexi- cana Mathematica (SMM), Zacatecas, Mexico, May 2007
      Co-organizer of the AMS Special Session on Hopf Algebras and Quantum Groups, DePaul University, Chicago, October 2007.
      Co-organizer of the Special Session on Hopf Algebras and Quantum Groups, joint meeting of the AMS and the New Zealand Math Society, Wellington, NZ, December, 2007.
      Co-organizer of the AMS Special Session on Hopf Algebras and Quantum Groups, Clare- mont McKenna College, Pomona, CA, May 2008
      Organizer of the NSF Workshop on Lie algebras, Lie groups, and their representations, USC, May 2009
      Organizer of the NSF Workshop on Lie algebras, Lie groups, and their representations, USC, May 2010
      Co-organizer of the AMS Special Session on Hopf Algebras and Quantum Groups, AMS Annual Meeting, New Orleans, January 2011.
      Member of the Scientifc Committee, Conference on Hopf Algebras and Tensor Categories, Almeria, Spain, July 2011.
      Co-organizer of the NSF Lie theory Workshop, with a focus on Hopf algebras and their representations, USC, May 2012.
      Co-organizer, Special Session on Hopf algebras, Coalgebras, and their Categories of Rep- resentations, Joint Meeting of the American Math Society and the Romanian Math Society, Alba Iulia, Romania, May 2013 (unable to attend).
      Co-organizer of Special Session on Non-commutative Algebras, Mathematical Congress of the Americas, Guanajuato, Mexico, August 2013 (unable to attend).
      Co-organizer of the NSF Lie theory Workshop, with a focus on Hopf algebras, University of Washington, Seattle, November 2014
      Co-organizer of AMS Special Session on Hopf algebras and tensor categories, JMM, San Antonio, January 2015.
      Organizer, Mini-meeting on Hopf algebras and tensor categories, USC, May, 2015. Member of organizing committee, Meeting on Women in Representation Theory, Banf, March 2016.
      Co-organizer, Workshop on Hopf algebras and Actions, University of Washington, Seattle, April 2016 (part of NSF Lie theory workshops).
      Member of organizing committee, Meeting on Hopf algebras, Chern Institute, Nankai University, Tianjin, China, September 2016.
      Co-organizer of AMS Special Session on Hopf algebras and their actions, JMM, Atlanta, January 2017.
      Co-organizer, Workshop on Hopf algebras and Tensor Categories, UC San Diego, May 2017 (part of NSF Lie theory workshops).
      Co-organizer of AMS Special Session on Ring Theory and Related Topics (Celebrating the 75th birthday of Lance Small), Riverside, CA, November 2017.
      Co-organizer of the International Conference on Hopf Algebras and Tensor Categories, Nanjing University, September 2019.
      Co-organizer of AMS Special Session on Quantum Groups, Hopf Algebras and Applica- tions: in honor of Earl J. Taft, Salt Lake City, October 2022.
    3. Professional Societies
    • American Mathematical Society (AMS):
      Member of Subcommittee to write rules for CAFTES (Committee on Academic Freedom, Tenure, and Employment Security) 1978-79
      Member-at-Large of the Council, 1981-84.
      Selection Committee for Research Fellow, 1982-84 (Chair, 83-84). Board of Trustees, 1986-January 1996 (Chair, 1989 and 1994).
      Policy Committee on Publications, 1994-95 (Chair of the Subcommittee on Books), and 1996-99 (Chair of the Committee, 1996-98).
      Nominating Committee, 2006-09.
      Vice-President, 2014-2017 (elected 2013).
    • Association for Women in Mathematics (AWM): Executive Committee 1975-76
      Chair, Nominating Committee, 1982
      Committee to select the Noether Lecturer, 1990-92, Chair 1992 Nominating Committee, 2009
      Scientifc Advisory Committee, 2015 – 2017
    • Mathematical Association of America (MAA): Visiting Lecturer, 1976-78.
      Program Chairman, Southern California Section, 1978-79. Committee to select the Ford Awards, 1991-1993 (Chair, 1992-93)
      Committee to select AMS-MAA hour speakers for the annual meetings, 1995-97.
  2. Other Boards and Committees
    NSF Division of Mathematical Sciences Advisory Committee, 1986-89
    Board on Mathematical Sciences (BMS) of the National Research Council, 1995-1998; Executive Committee 97-98.
    Review Committee for the Math Dept at the University of Pennsylvania, 1997 Review Committee for the Math Dept at the University of Minnesota-Duluth, 1998 Review Committee for the Math Dept at the University of Nebraska, Lincoln, 2001
    Review Committee for Mathematics Research in Norway, Oslo, Norway 2002 (included four universities and two institutes)
    Review Committee for the Math Dept at Pennsylvania State University, 2003. Review Committee for the Math Dept at Loyola University of Chicago, 2006.
    Review Committee for the Math Dept at UC Santa Cruz, 2008.
    Representative to Math Sciences Research Institute (MSRI), Berkeley, from USC, 1999-06 NSA Panel to Award Research Grants in Mathematics, 2004-2006.
    NSF-DMS Panel to Award Grants for Infrastructure in the Profession, 2006. NSF-DMS Panel to Award Grants in Algebra, 2009.
    NSA Panel to Award Research Grants in Mathematics, 2013-2014.
    An international prize committee, 2018 and 2019 (members are asked to remain anony- mous)

University Service

  • Mathematics Department
    Math Dept Language Exam Committee 1971-73
    Math Dept Library Representative, and member of the Seaver Science Library Committee 1971-74
    Putnam Exam coach/supervisor 1972-74 Math Dept Personnel Committee 1975
    Math Dept Search Committee 1976, 1984, 2009-2011; Chair, 1986-87, 1989-90. Math Dept Colloquium Chair, 1987-88
    Math Dept Merit Committee, 1991-93 (Chair, 92-93) Chair, Math Dept, 1996-99.
    Math Dept Search Committee, 2007-2009. Math Dept Merit Committee, 2012-2014.
    Director of Graduate Studies, Jan 2015 – June 2023.
  • Other USC service
    Natural Sciences Division Personnel Committee 1978-80, 1990-92. Humanities Divison Personel Committee 1981-83
    Ad-hoc committee to review changes in the Computer Science Ph D program 1983 Member of Science and Engineering panel of the President’s Advisory Committee on
    Promotions and Tenure (PACPT) 1984 (fall), 1986 – 88 (Chair 86-87) USC Curriculum Committee 1974-76
    USC Faculty Senate 1974-76, 78-80, and 1983-85; Subcommittee on Classes with large enrollments 75-76, Committee on Promotion and Tenure Policy 1983-84
    USC Committee on the Buckley amendment 1975 Search Committee for Dean of the Natural Sciences and Mathematics Division, 1988-89.
    University Committee on Appointments, Promotions, and Tenure (UCAPT); Chair, Fall 1993 through Fall 1995.
    Academic Senate Committee on Reviews of Tenure-Track Faculty, 1998-99 Academic Senate Committee on the Status of Part-Time Faculty, 1999.
    Provost’s Committee on Academic Leadership Development 2000-01 (served on a panel discussion for Department Chairs sponsored by this committee).
    Academic Senate Ad-hoc Committee on Non-Tenure-Track Faculty, 2002.
    Chair, Science and Engineering Panel, University Committee on Appointments, Promo- tions, and Tenure (UCAPT), 2001-03.
    Member of College Faculty Council, 2002-05; Vice-president, 03-04, President 04-05 Member of USC Academic Senate, representing the College, 2002-06
    Member of University Research Committee, 2002-04.
    Member of UCAR Review Committee for the USC Physics department, 2005. Math Dept Merit Committee, 2004-2006; Chair, 2005-06.
    USC Academic Senate Executive Board, 2006-07
    Faculty representative to the University Crisis Team (disaster preparedness), 2005-12. Member of USC Phi Beta Kappa committee, 2007-18
    Provost’s Committee on Women in Science and Engineering (WiSE), 2000-23.

Invited Lectures

  • 1970
    Algebra Seminar, UCLA (April)
  • 1971
    Colloquium, Rice University, Houston (April) Colloquium, UC San Diego (May)
    Colloquium, Rutgers University, New Brunswick (November) Algebra Seminar, Carleton University, Ottawa, Canada (November)
  • 1972
    Southern California Algebra Conference, Harvey Mudd College, Pomona (May) Colloquium, UC Riverside (May)
    Algebra Seminar, Carleton University, Ottawa, Canada (June)
  • 1973
    AMS Special Session on Ring Theory, Dallas (January)
    Ring Theory Seminar, University of Leeds, England (February) (part of the Leeds Ring Theory Year)
    Ring Theory Meeting, Mathematics Research Institute, Oberwolfach, Germany (May) Lecture series on Rings with Involution, Hebrew University of Jerusalem, Israel (April-May)
    Algebra Seminar, Weizmann Institute of Science, Rehovot, Israel (May) Ring Theory Conference, University of Chicago (July)
  • 1974
    Colloquium, Claremont Graduate School, Pomona (April)
  • 1975
    Ring Theory Seminar, University of Chicago (January)
  • 1976
    Southern California Number theory Seminar, UC Irvine (March) Number Theory Seminar, Courant Institute, NYU (April)
    Canadian Math Congress Summer Research Institute in Associative Rings and Algebras, Halifax, Nova Scotia (June)
    Algebra Seminar, University of Texas, Austin (July)
  • 1977
    Midwest Ring Theory Seminar, Northern Illinois University, Dekalb (March)
    Colloquium, DePaul University, Chicago (April) Colloquium, University of Cincinnati (April) Colloquium, University of Illinois at Chicago (May)
    Ring Theory Seminars, University of Chicago (April–May, August) Algebra Colloquium, Cambridge University, England (October) Algebra Seminar, University of Leeds, England (October)
    Algebra Seminar, Bedford College, University of London, England (October)
    Two seminar lectures in the Ring Theory Year, Institute for Advanced Studies, Hebrew University of Jerusalem (October and December)
    Colloquium, Ben Gurion University of the Negev, Israel (December) Colloquium, University of Haifa, Israel (December)
  • 1978
    Colloquium, Weizmann Institute of Science, Rehovot, Israel (January) Colloquium, Bar Ilan University, Ramat Gan, Israel (January)
    AMS Special Session on Ring Theory, Columbus, Ohio (March) Group Rings Seminar. Caltech (May)
    Group Rings Conference, University of Edmonton, Alberta, Canada (June)
    NATO Advanced Study Institute in Ring Theory, University of Antwerp, Belgium (Au- gust)
  • 1979
    Colloquium, Memorial University, St.Johnss, Newfoundland, Canada (January) Algebra Seminar, Carleton University, Ottawa, Canada (January)
    Denison Ring Theory Conference (of Ohio State University), Denison, Ohio (April) Colloquium, University of Texas, Austin (April)
    SRC Ring Theory Conference, Durham University Durham, England (July)
  • 1980
    Algebra Day, University of Essen, Germany (June)
  • 1981
    Colloquium, University of Massachusets, Amherst Algebraic Geometry Seminar, MIT
    Colloquium and Algebra Seminar, University of Wisconsin, Madison Algebra Seminar and Colloquium,, University of Leeds, England Scottish Algebra Colloquium, Edinburgh
    Seminaire d’ Algebre, Institut Henri Poincare, University of Paris VI Algebra Workshop, Hebrew University of Jerusalem
    AMS Special Session, Pittsburgh Colloquium, Michigan State University Claremont Graduate School/Pomona College
  • 1982
    Colloquium and Algebra Seminar, University of Texas, Austin
    Colloquium and Algebra Seminar, Ben Gurion University, Beer Sheva, Israel Algebra seminar, Weizmann Institute, Rehovot, Israel
    MAA Invited Hour Address, AMS-MAA Summer Meeting, Toronto Algebra seminar, Columbia University
    Colloquium, Virginia Tech(VPI&SU)
    Colloquium, UC San Diego
  • 1983
    Operator Algebras Seminar, UCLA
    Noetherian Rings meeting, Oberwolfach, Germany AMS Special Session, Norman, Oklahoma
    AMS Special Session, Salt Lake City
    NATO Advanced Study Institute in Ring Theory, Antwerp, Belgium Colloquium, University of Edmonton
    Colloquium, University of British Columbia Colloquium, UCLA
  • 1984
    AMS Invited Hour Address, AMS Annual Meeting, Louisville, Kentucky
    AMS-IMS-SIAM Joint Summer Research Conference on Group Action on Rings, Bow- doin, Maine.
  • 1985
    Distinguished Lecturer,Trinity University, San Antonio Algebra Seminar, University of Texas, Austin Colloquium and Algebra seminar, UC San Diego
    Supporting Lecturer, CBMS Conference on Group Rings, Crossed Products and Galois Theory (D. S. Passman, Principal Lecturer), Mankato, Minn
    Midwest Ring Theory Conference, Madison, Wisconsin.
    Algebra Seminar (two lectures), University of Wisconsin, Madison Colloquium, University of Michigan
    Colloquium, Wayne State University Colloquium, University of Chicago
    Colloquium and Algebra seminar, University of Cincinnati
  • 1986
    Colloquium, University of Trondheim, Norway
    Joint seminar on algebra and operator algebras, University of Trondheim, Norway Ring theory meeting, Oberwolfach, Germany
    SERC Workshop on Noncommutative Rings, Leeds, England AMS Special Session on Invariant Theory, Denton, Texas
  • 1987
    Meeting to honor I. N. Herstein, University of Chicago
    NATO workshop on Perspectives in Ring Theory, Antwerp, Belgium AMS Special Session, Salt lake City
    Algebra Seminar, UC Santa Barbara Algebra seminar, Yale University
  • 1988
    Two lectures at the Algebra Semester, Stefan Banach Mathematical Center, Warsaw, Poland
    Three lectures, Beijing Normal University, China Nankai Institute of Mathematics, Tienjin, China
    Colloquium and a 3-lecture short course,University of New South Wales, Sydney, Aus- tralia
    Ring Theory Seminar, Brandeis University
  • 1989
    Hopf Algebra meeting, Sde Boker, Israel (a satellite meeting to the Amitsur retirement conference, Tel Aviv)
    Algebra Seminar and Colloquium, Rutgers University Ring theory meeting, Oberwolfach, Germany
    Algebra Seminar,University of Munich, Germany
    MSRI Microprogram on Non-commutative Rings, Berkeley Algebra seminar, University of Texas, Austin
  • 1990
    Algebra Seminar, University of Michigan
    Azumaya 70th Birthday Conference, Bloomington, Indiana
    AMS-IMS-SIAM Joint Summer Research Conference on Deformation Theory of Algebras and Quantization, with Applications to Physics, Amherst, MA
    Supporting lecturer, CBMS Conference on Polynomial Identities and the Invariants of
    n × n matrices (E. Formanek, Principal Lecturer), Chicago Colloquium, UCLA
  • 1991
    AMS Special Session, San Francisco University of Washington, Seattle
    Mini-course on Hopf Algebras (10 lectures),Beijing Teacher’s College International Conference in Algebra in Honor of A. I. Shirshov, Barnaul, USSR
    Mid-Atlantic Algebra Conference on Quantum Groups, Wake Forest University, Winston- Salem, NC
    AMS Special Session, Philadelphia AMS Special Session, Santa Barbara Functional analysis seminar, UCLA
  • 1992
    Colloquium, Northern Illinois University
    SERC Symposium on New Directions in Non-commutative Rings, Durham, England Principal Lecturer, CBMS Conference on Hopf Algebras and their Actions on Rings, Chicago
    University of California Lie Algebras Conference, UC Riverside
  • 1993
    AMS Special Session, San Antonio AMS Special Session, Salt Lake City Algebra Seminar, UC Berkeley
    Gauss Symposium, University of Munich, Germany Dozor Lecture, Ben Gurion University, Beer Sheva, Israel
    Non-commutative rings and representation theory meeting, Oberwolfach, Germany
  • 1994
    Algebra seminar, University of Limburg, Belgium
    Algebra seminar, University of Antwerp, UIA Algebra seminar, University of Munich (two lectures) Colloquium, Temple University, Philadelphia
  • 1995
    AMS Special Session, San Francisco AMS Special Session, Chicago
    UScience Days Algebra Meeting, Antwerp, Belgium Mini-course (3 lectures), University of Ferrera, Italy
    EEC Workshop on Quantum Groups, Enveloping Algebras, and Representation Theory, University of Ferrara, Italy
    Hour address, Joint Meeting of the AMS and the Israel Math Union, Jerusalem, Israel Martindale Retirement Meeting, CSU Northridge
    Special Session, AMS Joint Meeting with the Sociedad Matematica Mexicana (SMM) Guanajuato, Mexico
  • 1996
    Algebra Seminar, University of Munich
    Quantum groups seminar, University of Leipzig, Germany
    Seminaire de Algebre, Institut Henri Poincare, University of Paris VI University of California Lie Theory meeting, UC Santa Cruz.
    Mini-course (”Vortragsreihe”), University of Munich (10 lectures)
    Joint Colloquium, University of Munich and Technical University Munich
  • 1997
    Colloquium, Virginia Tech
    Conference on Non-commutative Projective Geometry and Ring Theory, U. of Washing- ton, Seattle.
    AMS-IMS-SIAM Joint Summer Research Conference on Representation Theory of Finite- dimensional Algebras, Seattle
    Meeting on Noetherian Rings and Representation Theory, Oberwolfach, Germany
    AMS-SMM Invited Hour Address, Annual Meeting of the Sociedad Matematica Mexi- cana, Aguas Calientes, Mexico.
  • 1998
    Colloquium, CSU San Bernardino AMS Special Session, Philadelphia
    EU Conference on Hopf Algebras and Quantum Groups, Free University of Brussels, Belgium.
    AMS Special Session, Winston-Salem, NC Algebra Seminar, Virginia Tech
  • 1999
    Colloquium, Yale University Algebra Seminar, Yale University
    AMS-SMM (Sociedad Matematica Mexicana) Special Session, Denton, Texas Algebra Seminar, University of Munich
    LMS Symposium on Quantum Groups, Durham, England
    Three hour lectures, 1999 AMS Von Neumann Symposium on Arithmetic Fundamental Groups and Non-commutative Algebra, MSRI, Berkeley|
    Colloquium, UC Berkeley
    Lie groups seminar, UC Berkeley
  • 2000
    Hopf algebras seminar, MSRI, Berkeley
    Two algebra seminars and one colloquium, UNAM branch in Morelia, Mexico.
    Three hour lectures, NATO Workshop on Algebra and Representation Theory, Constanta, Romania
    EU Conference on Rings, Modules, and Representations, Constanta, Romania Conference on Lie algebras in honor of Marshall Osborn, U. Wisconsin, Madison
  • 2001
    Atlantic Association for Research in the Mathematical Sciences (=AARMS) Conference on Groups, Rings, Lie, and Hopf Algebras, Memorial University, St. Johns, Newfoundland, Canada; two lectures, one an ordinary lecture and the other the AARMS Lecture.
    Algebra Seminar, University of Munich
    Colloquio Latinoamericano de Algebra, Cordoba, Argentina
  • 2002
    Hopf Algebras Meeting, De Paul University Algebra Seminar, Yale University
    Non-commutative Algebra meeting in Oberwolfach, Germany
    EU conference on Hopf Algebras and Quantum Groups, Brussels, Belgium
  • 2003
    AMS Special Session on Non-commutative Algebra, Baltimore, January Algebra Seminar, University of Michigan, Ann Arbor.
    Conference on Interactions between Representation Theories, Knot Theory, Topology, Quantum Field theory, Category theory, and Mathematical Physics, SUNY Potsdam; two lectures (one general, one more specialized).
    Latin American Algebra Conference (meets every two years), Cocoyoc, Mexico.
  • 2004
    Colloquium, Claremont Colleges, January.
    Program on Non-commutative Geometry, Institute Mittag-Lefer, Stockholm, Sweden, March; two lectures (one general, one more specialized).
    Joint Colloquium, Chalmers University and University of Gothenburg, Sweden, April. Special Session on Hopf Algebras and Related Topics, Summer Meeting of the Canadian
    Math Society, Halifax, Nova Scotia, Canada, June .
    Workshop on Non-Commutative Algebra and its Applications, University of Warwick, Coventry, UK, July.
    Colloquium, CSU Dominguez Hills, September
    Joint Algebra Seminar, DePaul University and University of Illinois at Chicago, October Algebra Seminar, UCSD, La Jolla, November
  • 2005
    AMS Invited Hour Address, AMS Sectional Meeting, Bowling Green, Kentucky, March University of California Lie Theory Meeting, UC Santa Cruz, April
    Algebra Meeting in honor of D. S. Passman’s 65th Birthday, Madison, Wisconsin, June XVI Colloquio Latinamericano de Algebra, Colonia, Uruguay, August
    Lie Groups Seminar, University of Cordoba, Argentina, August
    PIMS Meeting on Non-commutative Algebraic Geometry, Banf, Canada, September Colloquium, UCSD, La Jolla, November
  • 2006
    Algebra Meeting in honor of L. W. Small’s 65th Birthday, UC San Diego, February Meeting on the interaction of non-commutative algebra and algebraic geometry, Ober-
    wolfach, Germany, May
    Representation Theory Seminar, Weizmann Institute, Israel, June
    Algebra Meeting in Memory of S. A. Amitsur, Bar-Ilan University, Israel, June Ring Theory Seminar, Bar-Ilan University, Israel, June
  • 2007
    Hopf Algebras Seminar (Oberseminar Schneider), University of Munich, May International Algebra Meeting, Beijing Technical University, Beijing, China, July Algebra Seminar, Fudan University, Shanghai, China, July
    Algebra Seminar, Michigan State University, East Lansing, October
    Special Session on Hopf algebras and quantum groups, Joint AMS-NZMS meeting, Welling- ton, New Zealand, December
  • 2008
    AMS Special Session on the interaction of non-commutative algebra and algebraic geom- etry, San Diego, January
    UC Lie Groups and Lie Algebras meeting (in honor of Georgia Benkart), UC San Diego, February
    New Topological Contexts for Galois Theory and Algebraic Geometry (lecture series), PIMS, Banf, Canada, March
    Algebra Seminar, DePaul University, Chicago, May Colloquium, DePaul University, Chicago, May
    Conference on Vertex algebras and related topics (in honor of Geofrey Mason), Illinois State University, Normal, Illinois, July
    Colloquium (Women in Science Distinguished Lecturer), Iowa State University, Ames, Iowa, September
    Interactions between Non-commutative Algebra and Algebraic Geometry, PIMS, Banf, Canada, October
  • 2009
    Plenary Lecture, Canadian Math Society Summer Meeting, St. Johns, Newfoundland, June
    Mt. Allison University Algebra Day, Sackville, New Brunswick, Canada, June
    AMS Special Session on the interaction of non-commutative algebra and algebraic geom- etry, Riverside, CA, November
  • 2010
    Conference on Hopf algebras and non-commutative rings (in honor of Miriam Cohen), Sde Boker, Israel, May
    Conference on New Trends in Non-commutative Algebra, University of Washington, Seat- tle, August
  • 2011
    Noether Lecturer, Joint Math Meetings, New Orleans, January|
    Conference on Hopf Algebras and Tensor Categories, University of Almeria, Spain, July
    AMS Special Session on Non-commutative Geometry and Algebra, Salt Lake City, Oc- tober
  • 2012
    AMS Special Session on Tensor Categories and Representation Theory, Annual Meeting, Boston, January
    Algebra Seminar, UCSD, May
    Workshop on Non-commutative Invariant Theory, University of Washington, Seattle, May
    AMS Special Session on Quantum Groups and Non-commutative Algebraic Geometry, Tulane, New Orleans, October
  • 2013
    Special Session on Hopf Algebras and Tensor Categories, Canadian Math Society summer meeting, Halifax, Nova Scotia, June.
    Invited speaker at Special Sessions at the AMS-Romanian Math Society meeting and at the Math Congress of the Americas (both cancelled at the last minute due to medical problems)
    Algebra Seminar, UCSD, December
  • 2014
    Meeting on Noetherian Hopf algebras, University of Washington, March. Oberwolfach Workshop on Infnite Dimensional Hopf algebras, April.
    Non-commutatve Algebraic Geometry Workshop 2014, Fudan University, Shanghai, Au- gust.
    Colloquium, Lousiana State University, October 2014
    AMS Special Session on Representation Theory, San Francisco, October 2014
  • 2015
    Colloquium, UCLA, May 2015
    AMS Special Session on Groups, Rings, Group Rings, and Hopf Algebras (in honor of Donald Passmans’ 75th birthday), 45 minute talk, Chicago, October 2015.
  • 2016
    AMS Special Session on Interactions between noncommutative algebra, algebraic geom- etry and representation theory, JMM, Seattle 2016.
    USA-Mexico Conference on Representation Theory, Categorifcation and Non-commutative algebra, USC, May 2016.
    Workshop on Hopf algebras, algebraic groups, and related topics, Memorial University, St. John’s, Newfoundland, June 2016.
    Workshop on Hopf algebras and Tensor Categories, Chern Institute, Tianjin, China, September 2016
    Workshop on Hopf actions, University of Tsukuba, Japan, September 2016.
  • 2017
    Conference on Advances in Noncommutative Algebra, Bar-Ilan University, Tel Aviv, Israel, June 2017
  • 2018
    Conference in honor of 70th birthday of Geofrey Mason, Sacramento State, June 2018
  • 2019
    Principal speaker at Maurice Auslander Memorial Algebra Conference, Woods Hole, MA, April 2019.
    Conference on Hopf Agebras and Quantum Groups, Nanjing, China, August 2019.
  • 2020
    Plenary Lecture for Quantum Symmetries: Connections for Women, MSRI, January 2020
  • 2021
    AMS Special Session on Hopf algebras and tensor categories (virtual), January 2021 CMS Summer Meeting, Special Session on Hopf algebras, tensor categories, and related topics (virtual), June 2021
  • 2022
    Richard Block Distinguished Lecture, UC Riverside, April 2022

PUBLICATIONS

Books and Special Issues

  1. Montgomery and E. W. Ralston (co-chairs of editorial committee), Selected Papers on Algebra, Raymond W. Brink Selected Mathematical Papers, Vol. 3, Mathematical Association of America, Washington D. C. 1977.
  2. Montgomery, Fixed Rings of Finite Automorphism Groups of Associative Rings, Lecture Notes in Mathematics, Vol. 818, Springer-Verlag, New York 1980 (126 pages).
  3. Montgomery (editor), Group Actions on Rings, Proceedings of Joint Summer Re- search Conference, Contemporary Mathematics, Vol. 43, American Math Society, Providence 1985.
  4. Montgomery and L. W. Small (co-editors), Non-Commutative Rings, MSRI Publi- cations vol. 24, Springer-Verlag, New York 1992.
  5. Montgomery, Hopf Algebras and Their Actions on Rings, CBMS Lecture Notes Vol. 82, American Math Society, Providence 1993 (238 pages).
  6. Bergen and S. Montgomery (co-editors), Advances in Hopf Algebras, Lecture Notes in Pure and Applied Mathematics vol. 158, Marcel Dekker, New York, 1994.
  7. Montgomery and H.-J. Schneider, New Directions in Hopf Algebras, MSRI Publica- tions vol. 43, Cambridge University Press, 2002.
  8. Montgomery, L. Rowen and H.-J. Schneider (co-editors), Special Issue of Commu- nications in Algebra in honor of Miriam Cohen, vol. 39, no. 12, Taylor and Francis 2011.
  9. Andruskiewitsch, Gongxiang Liu, S. Montgomery, and Yinhuo Zhang (co-editors), Hopf Algebras, Tensor Categories, and Related Topics, AMS Contemporary Math 771, AMS, 2021.

Papers

    1. S. Montgomery, Left and right inverses in group algebras, AMS Bulletin 75 (1969), 539-540.
    2. S. Montgomery, Lie structure of simple rings of characteristic 2, J. of Algebra 15 (1970), 387-407.
    3. I. N. Herstein and S. Montgomery, A note on division rings with involution, Michigan Math. J. 18 (1971), 75-79.
    4. S. Montgomery, Polynomial identity algebras with involution, AMS Proceedings 27 (1971), 53-56.
    5. S. Montgomery, A generalization of a theorem of Jacobson, AMS Proceedings 31 (1971), 366-370.
    6. T. S. Erickson and S. Montgomery, The prime radical in special Jordan rings, AMS Transactions 156 (1971), 155-164.
    7. S.Montgomery, Algebraic algebras with involution, AMS Proceedings 31 (1972), 368-372.
    8. C. Lanski and S. Montgomery, Lie structure of prime rings of characterists 2, Pacifc Math. 42 (1972), 117-136.
    9. I. N. Herstein and S. Montgomery, A generalization of a theorem of Jacobson II, Pacifc Math. 43 (1973), 233-240.
    10. S. Montgomery, Invertible and regular elements in rings with involution, J. of Algebra 25 (1973), 390-400.
    11. S. Montgomery, Rings with involution in which every trace is nilpotent or regular, Canadian J. Math. 26 (1974), 130-137
    12. S. Montgomery, Rings of quotients for a class of special Jordan rings, J. of Algebra 31 (1974), 154-165.
    13. S. Montgomery, Chain conditions on symmetric elements, AMS Proceedings 46 (1974), 325-331.
    14. S. Montgomery, Centralizers satisfying polynomial identities, Israel J. Math. 18 (1974), 207-219.
    15. S. Montgomery and M. K. Smith, Algebras with a separable subalgebra whose central- izer satisfes a polynomial identity, Communications in Algebra 3 (1975), 151-168.
    16. S. Montgomery, Centralizers of separable subalgebras, Michigan Math. J. 22 (1975), 15-24.
    17. M. Chacron, I. N. Herstein, and S. Montgomery, Structure of a certain class of rings with involution, Canadian J. Math. 27 (1975), 1114-1126.
    18. M. Cohen and S. Montgomery, Semi-simple Artinian rings of fxed points, Canadian Math. Bulletin 18 (1975), 189-190.
    19. S. Montgomery, The Jacobson radical and fxed rings of automorphisms, Comm. in Algebra 4 (1976), 459-465.
    20. Montgomery, A structure theorem and a positive-defniteness condition in rings with involution, J. of Algebra 43 (1976), 181-192.
    21. S. Martindale, III and S. Montgomery, Fixed elements of Jordon automorphisms of associative rings, Pacifc J. Math. 72 (1977), 181-196.
    22. S. Montgomery, Invariant subgroups of rings with involution, Canadian J. Math. 30 (1978), 350-357.
    23. Montgomery, Outer automorphisms of semi-prime rings, London Math. Soc. Journal (1978), 209-220.
    24. W. Fisher and S. Montgomery, Semiprime skew group rings, J. of Algebra 52 (1978), 241-247.
    25. S. Montgomery and D. S. Passman, Crossed products over prime rings, Israel J. Math. 31 (1978), 224-256.
    26. S. Montgomery, Automorphism groups of rings with no nilpotent elements, J. of Alge- bra 60 (1979), 238-248.
    27. M. Cohen and S. Montgomery, The normal closure of a semiprime ring, in Ring The- ory: Proceedings of the 1978 Antwerp Conference, Marcel Dekker Lecture Notes in Mathematics 51 (1979), 43-59.
    28. M. Cohen and S. Montgomery, Trace functions for fnite automorphism groups of rings, Archiv der Mathematik 35 (1980), 516-527.
    29. S. S. Montgomery and L. W. Small, Fixed rings in Noetherian rings, London Math. Soc. Bulletin 13 (1981), 33-38.
    30. S. Montgomery, Prime ideals in fxed rings, Comm. in Algebra 9 (1981), 423-449.
    31. S. Martindale, III and S. Montgomery, The normal closure of coproducts of domain,of Algebra 82 (1983), 1-1
    32. S. Montgomery and D. S. Passman, X-inner automorphisms of group rings, Houston Math. 7 (1981), 395-402.
    33. S. Montgomery, X-inner automorphisms of fltered algebras, AMS Proceedings 83 (1981), 263-268.
    34. M. Lorenz, S. Montgomery and L. W. Small, Prime ideals in fxed rings II, Comm. in Algebra, 10 (1982), 449-455.
    35. M. Cohen and S. Montgomery, Trace-like functions on rings with no nilpotent element,
      AMS Transactions 273 (1982), 131-145.
    36. S. Passman and S. Montgomery, X-inner automorphisms of group rings II, Houston Math. 8 (1982), 537-544.
    37. S. Montgomery, Trace functions and afne fxed rings for groups acting on non-commutative rings, Seminaire d’Algebra Paul Dubreil et Marie-Paule Malliavin, Lecture Notes in Mathematics 924, Springer-Verlag (1982), 356-374.
    38. S. Montgomery, von Neumann fniteness of tensor products of algebras, Comm. in Algebra 11 (1983), 595-610.
    39. S. Montgomery, X-inner automorphisms of fltered algebras II, AMS Proceedings 87 (1983), 569-575.
    40. S. Montgomery and D. S. Passman, Galois theory of prime rings, E. Noether 100th Birthday issue, J. Pure and Applied Algebra 31 (1984), 139-184.
    41. S. Montgomery and L. W. Small, Integrality and prime ideals in fxed rings of PI rings, Noether 100th Birthday issue, J. Pure and Applied Algebra 31 (1984), 185-190.
    42. S. Montgomery and D. S. Passman, Outer Galois theory of prime rings, Rocky Mountain Math. 14 (1984), 305-318.
    43. M. Cohen and S. Montgomery, Group graded rings, smash products, and group actions, AMS Transactions 282 (1984), 237-258; Addendum 300 (1987), 810-811.
    44. R. J. Blattner and S. Montgomery, A duality theorem for Hopf module algebras, J. of Algebra 95 (1985), 153-172.
    45. S. Montgomery, Group actions on rings: some classical problems, in Methods in Ring Theory, F.van Oystaeyen, editor, NATO Advanced Study Institute in Ring Theory, Antwerp 1983, NATO ASI Series C, Vol. 129, Reidel (1984), 327-346 .
    46. J. W. Fisher and S. Montgomery, Invariants of fnite cyclic groups acting on generic matrices, J. of Algebra 99 (1986), 430-437.
    47. J. Bergen and S. Montgomery, Smash products and outer derivations, Israel J. of Math. 53 (1986), 321 – 345.
    48. S. Montgomery, Duality for actions and coactions of groups, in Group Actions on Rings, AMS Contemporary Math, vol. 43 (1985), 191-207.
    49. S. Montgomery and L. W. Small, Some remarks on afne rings, AMS Proceedings, 98 (1986), 537-544.
    50. S. Montgomery and D. S. Passman, X-inner automorphisms of crossed products and semi-invariants of Hopf algebras, Israel J. Math. 55 (1986), 33-57.
    51. R. J. Blattner, M. Cohen, and S. Montgomery, Crossed products and inner actions of Hopf algebras, AMS Transactions 298 (1986), 671-711.
    52. J. Bergen, S. Montgomery and D. S. Passman, Radicals of crossed products of envelop- ing algebra, Israel J. of Math. 59 (1987), 167-184.
    53. S. Montgomery and D. S. Passman, Prime ideals in fxed rings of free algebras, Comm. in Algebra, 15 (1987), 2209-2234.
    54. S. Montgomery and D. S. Passman, Algebraic analogs of the Connes spectrum, J. of Algebra 115 (1988) 92-124.
    55. S. Montgomery, Prime ideals and group actions in non-commutative algebras, in In- variant Theory, AMS Contemporary Math. 88 (1989), 103-124.
    56. S. Montgomery, Crossed products of Hopf algebras and enveloping algebras, in Per- spectives in Ring Theory, Proceedings of NATO Workshop, Antwerp 1987, NATO ASI Series C, Vol. 233 Kluwer (1988), 253-268.
    57. S. Montgomery, Progress on some problems about group actions, in Perspectives in Ring Theory, NATO ASI Series C, Vol 233, Kluwer, Dordrecht (1988), 269-274.
    58. R. J. Blattner and S. Montgomery, Crossed products and Galois extensions of Hopf algebras, Pacifc J. Math, 137 (1989), 37-54.
    59. R. Guralnick and S. Montgomery, Normalizing elements of the trace ring of generic matrices, Comm. in Algebra 27 (1989), 1805-1813.
    60. S. Montgomery, A generalized Picard group for prime rings, in Topics in Algebra, Proceedings of the Algebra Semester 1988, Banach Center Publications Vol. 26, Part I, PWA – Polish Scientifc Publishers, Warsaw 1990, 55-63.
    61. S. Montgomery, Inner actions of Hopf algebras, in Ring Theory 1989 (in honor of S. A. Amitsur), Israel Math. Conference Proceedings, Weizmann Science Press, 1989, pp 141-149.
    62. S. Montgomery and S. P. Smith, Skew derivations and Uq(sl(2)), Israel J. Math 72 (1990), 158-166.
    63. M. Cohen, D. Fischman and S. Montgomery, Hopf Galois extensions, smash products, and Morita equivalence, J. of Algebra 133 (1990), 351-372.
    64. S. Montgomery, Book review of: Infnite Crossed Products, by D. S. Passman, AMS Bulletin 24 (1991), 391-402.
    65. S. Montgomery, Hopf Galois extensions, in Azumaya Algebras, Actions, and Modules, AMS Contemporary Math, Vol. 124, 1992, 129-140.
    66. J. Bergen and S. Montgomery, Ideals and quotients in crossed products of Hopf alge- bras, J. Algebra 155 (1992), 374-396.
    67. S. Montgomery, Biinvertible actions of Hopf algebras, Israel J. of Math 83 (1993), 45-71.
    68. S. Montgomery, Some remarks on fltrations of Hopf algebras, Comm. in Algebra 21 (1993), 999-1007.
    69. M. Guralnick and S. Montgomery, On invertible bimodules and automorphisms of non-commutative rings, AMS Transactions 341 (1994), 917-937.
    70. D. Fischman and S. Montgomery, A Schur double centralizer theorem for cotriangular Hopf algebras and generalized Lie algebras, J. Algebra 168 (1994), 594-614.
    71. S. Montgomery, Indecomposable coalgebras, simple comodules, and pointed Hopf al- gebras, AMS Proceedings 123 (1995), 2343-2351.
    72. S. Montgomery and H.-J. Schneider, Hopf crossed products, rings of quotients and prime ideals, Advances in Math 112 (1995), 1-55.
    73. Y. Bahturin, D. Fischman and S. Montgomery, On the generalized Lie structure of associative algebras, Israel J. of Math. 96 (1996), 27-48.
    74. W. Chin and S. Montgomery, Basic coalgebras, in Modular Interfaces: Modular Lie algebras, Quantum groups, and Lie superalgebras, V. Chari and I. Penkov, editors, AMS-International Press, vol 4, 1997, pp 41-47.
    75. D. Fischman, S. Montgomery and H.-J. Schneider, Frobenius extensions of subalgebras of Hopf algebras, AMS Transactions 349 (1997), 4857 – 4895.
    76. S. Montgomery and L. W. Small, Nil subsets of graded algebras, AMS Proceedings 126 (1998), 653-656.
    77. S. Montgomery and S. Witherspooon, Irreducible representations of crossed products, Pure and Applied Algebra 129 (1998), 315-326.
    78. S. Montgomery, Constructing simple Lie superalgebras from associative graded alge- bras, J. of Algebra 195 (1997), 558 – 579.
    79. S. Montgomery, Classifying fnite-dimensional semisimple Hopf algebras, in Trends in the Representation Theory of Finite-Dimensional Algebras, E. Green and B. Zimmermann- Huisgen, editors, AMS Contemporary Math. vol 229 (1998), 265-279.
    80. Y. Bahturin and S. Montgomery, PI-envelopes of Lie superalgebras, AMS Proceedings 127 (1999), 2829-2839.
    81. S. Montgomery and H.-J. Schneider, Prime ideals in Hopf Galois extensions, Israel J. Math 112 (1999), 187-235.
    82. M. Cohen, D. Fischman and S. Montgomery, On Yetter-Drinfeld categories and H- commutativity, Comm. in Algebra 27 (1999), 1321-1345.
    83. V. Linchenko and S. Montgomery, A Frobenius-Schur theorem for Hopf algebras, Al- gebras and Representation Theory 3 (2000), 347-355.
    84. S. Montgomery, Bicharacters, twistings, and Scheunert’s theorem for Hopf algebras (with Yu. Bahturin and D. Fischman), J. of Algebra 236 (2001), 246-276.
    85. S. Montgomery and H.-J. Schneider, Skew-derivations of fnite-dimensional algebras and actions of the double of the Taft Hopf algebra, Tsukuba J. of Math 25 (2001), 337-358.
    86. S. Montgomery, Representation theory of fnite-dimensional semisimple Hopf algebras, Algebra – Representation Theory (Constanta, 2000), K. W. Roggenkamp and M. Ste- fanescu, editors, NATO Sci. Ser. II Math. Phys. Chem. 28, Kluwer, Dordrecht, 2001, 189-218.
    87. Y. Bahturin, M. Kochetov and S. Montgomery, Polycharacters of cocommutative Hopf algebras, Canadian Math Bulletin 45 (2002), 11-24.
    88. Y. Kashina, G. Mason and S. Montgomery, Computing the Frobenius-Schur indicator for abelian extensions of Hopf algebras, J. Algebra 251 (2002), 888-913.
    89. Y. Bahturin, S. Montgomery, and M. Zaicev, Generalized Lie solvability of associative algebras, Groups, Rings, Lie, and Hopf Algebras (Yu. Bahturin, editor), Proceedings of the 2001 St. John’s Conference, Kluwer, 2003, 1-23.
    90. S. Montgomery, Algebra properties invariant under twisting, in Hopf Algebras in Non- commutative Geometry and Physics (S. Caenepeel and F. Van Oystaeyen, editors), Lecture Notes in Pure and Applied Math 239, Marcel Dekker, New York, 2005, 61-75.
    91. S. Montgomery and H.-J. Schneider, Krull relations in Hopf Galois extensions: lifting and twisting, J. Algebra 288 (2005), 364-383.
    92. S. Montgomery, Primitive ideals in Hopf Galois extensions, in Algebraic Structures and their Representations, XV Colloquio Latinamericano, Cocoyoc, Mexico (Jose de la Pen˜a, E. Vallejo, and N. Atakishiyev, Editors), AMS Contemporary Math 376 (2005), 333-344.
    93. V. Linchenko, S. Montgomery and L. W. Small, Stable Jacobson Radicals and Semiprime Smash Products, London Math. Soc. Bulletin 37 (2005), 860-872.
    94. R. Landers, S. Montgomery, and P. Schauenburg, Hopf powers and orders for some bismash products, J. Pure and Applied Algebra 205 (2006), 156-188.
    95. V. Linchenko and S. Montgomery, Semiprime smash products and H-stable prime radicals for PI-algebras, AMS Proceedings 135 (2007), 3091-3098.
    96. M. Guralnick and S. Montgomery, Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups, AMS Transactions 361 (2009), 3611-3632.
    97. A. Jedwab and S. Montgomery, Representations of some Hopf algebras associated to the symmetric group Sn, Algebras and Representation Theory 12 (2009), 1-17.
    98. Y. Bahturin, M. Kochetov, and S. Montgomery, Group gradings on simple Lie algebras in fnite characteristic, AMS Proceedings 137 (2009), 1245 – 1254.
    99. S. Montgomery, Hopf Galois theory: a survey, in New Topological Contexts for Galois Theory and Algebraic Geometry (A. Baker and B. Richter, editors), Geometry and Topology Monographs 16 (2009), 367-400.
    100. A. Jedwab and S. Montgomery, A q-identity related to a comodule, Communications in Algebra 39 (2011), 4669-4678 (Special issue in honor of Miriam Cohen).
    101. Y. Kashina, S. Montgomery, and S-H. Ng, On the trace of the antipode and higher indicators, Israel J. Math 188 (2012), 57-90.
    102. A. Jedwab and S. Montgomery, Modular representations and indicators for bismash products, J. Algebra 377 (2013), 281-297.
    103. M. Iovanov, G. Mason, and S. Montgomery, F SZ-groups and Frobenius-Schur indica- tors of quantum doubles, Math Research Letters 21 (2014), 757-779.
    104. S. Montgomery, M. Vega, and S. Witherspoon, Hopf automorphisms and twisted ex- tensions, Journal of Algebra and Applications 15, No 6, (2016) (14 pages).
    105. A. Mejia-Castano, S. Montgomery, S. Natale, M. Vega, and C. Walton, Cocycle de- formations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2, Journal of Pure and Applied Algebra 222 (2018), 1643 -1669.
    106. Y Bahturin and Montgomery, Group gradings and actions of pointed Hopf alge- bras, Journal of Algebra and Applications 20 (2021) (40 pages) (issue in honor of N. Andruskiewitsch’ 60th birthday)

Non-mathematical publications

    1. M. Drews and S. Montgomery, Creative and academic performance in gifted ado- lescents, The High School Journal 48 (2) (1964), 94-101.