Sami H. Assaf

PROFESSOR OF MATHEMATiCS

Department of Mathematics, University of Southern California, 3620 S. Vermont Ave., Los Angeles, CA 90089-2532, U.S.A.

 (+1) (213) 740-2400 |  shassaf@usc.edu |  https://dornsife.usc.edu/samihassaf/ |  KAP 438-C
[CV PDF]

Education                                

2007 Ph.D. University of California Berkeley, MATHEMATiCS                                                        (advisor: Mark Haiman)

2001 B.A. University of Notre Dame, HONORS MATHEMATiCS AND PHiLOSOPHY                  summa cum laude

Employment                               

2022 University of Southern California, PROFESSOR OF MATHEMATiCS
2019 2022 University of Southern California, ASSOCiATE PROFESSOR OF MATHEMATiCS
2012 2018 University of Southern California, ASSiSTANT PROFESSOR OF MATHEMATiCS
2011 2012 Berkeley Quantitative, SENiOR QUANTiTATiVE RESEARCH ANALYST
2008 2011 Massachusetts Institute of Technology, C.L.E. MOORE INSTRUCTOR
Sp 2008 Mathematical Sciences Research Institute, POSTDOCTORAL FELLOW
2007 2008 University of Pennsylvania, NSF POSTDOCTORAL RESEARCH FELLOW

 

Grant Support                              

RESEARCH GRANTS

2023–2026

National Science Foundation, Individual Grant, DMS‑2246785

$210,000

2022–2027

Simons Foundation, MPS‑Collaboration Grants for Mathematicians, Award 953878, S.A.

$42,000

2018–2021

National Science Foundation, Individual Grant, DMS‑1763336

$150,000

2017–2022

Simons Foundation, MPS‑Collaboration Grants for Mathematicians, Award 524477, S.A.

$42,000

2013–2015

National Science Foundation, Individual Grant, DMS‑1265728

$110,000

2011

National Science Foundation, Individual Grant, awarded by NSF; declined by PI

$100,000

2007–2011

National Science Foundation, Mathematical Sciences Postdoctoral Research Fellowship, DMS‑0703567

$108,000

TRAVEL GRANTS

06/2017 Association for Women in Mathematics Travel Grant, London, UK $3,000

02/2012 Association for Women in Mathematics Travel Grant, Nagoya, Japan $2,000

05/2009 Association for Women in Mathematics Travel Grant, Valparaiso, Chile $2,000

05/2006 King Juan Carlos I of Spain Travel Grant for the ICM 2006, Madrid, Spain $5,000

 

Honors & Awards  

2024 Dean’s Leadership Fellow for Physical Sciences and Mathematics, University of Southern California
2024 Mentoring Award for Faculty Mentoring Graduate Students, University of Southern California
2023 Endowed Chair, Gabilan Distinguished Professor of Mathematics, University of Southern California
2017 Mentoring Award for Faculty Mentoring Undergraduates, University of Southern California
2012 Endowed Chair, Gabilan Assistant Professor of Mathematics, University of Southern California
2007 Herb Alexander Prize, for an outstanding dissertation in pure math, UC Berkeley
2005 Outstanding Graduate Student Instructor Award, UC Berkeley
2002 National Defense Science and Engineering Graduate Research Fellowship, US DOD
2001 National Science Foundation Graduate Research Fellowship, National Science Foundation
2001 Koletis Award for Excellence in Mathematics, University of Notre Dame
2001 Alice T. Schafer Prize, runner‑up, Association for Women in Mathematics

                           

Research Papers                             

As is convention in mathematics, authors are listed alphabetically. Graduate studentsand postdoctoral scholarsare indicated.

PREPRiNTS (accessible via http://arxiv.org)

46. Sami Assaf and Nantel Bergeron. “A combinatorial formula for multiplying Schubert polynomials by Schur polynomials”

45. Sami Assaf. “An insertion algorithm for multiplying Demazure characters by Schur polynomials”. arXiv:2109.05651

PUBLiCATiONS

44. Sami Assaf, Anne Dranowski, and Nicolle González. “Extremal tensor products of Demazure crystals”. In: Algebr. Represent. Theory 27.1 (2024), pp. 627–638

43. Sami Assaf and Danjoseph Quijada. “Monk’s rule for Demazure characters of the general linear group”. In: Electron. J. Combin. 30.2 (2023), Paper No. 2.54, 39

42. Sam Armon, Sami Assaf, Grant Bowling, and Henry Ehrhard. “Kohnert’s rule for flagged Schur modules”. In: J. Algebra 617 (2023), pp. 352–381

41. Sami Assaf, Anne Dranowski, and Nicolle González. “Extremal tensor products of Demazure crystals are direct sums of De‑ mazure crystals”. In: Sém. Lothar. Combin. 89B (2023), Art. 12, 11

40. Sami Assaf. “Queer dual equivalence graphs”. In: J. Comb. 14.1 (2023), pp. 21–51

39. Sami H. Assaf. “A bijective proof of Kohnert’s rule for Schubert polynomials”. In: Comb. Theory 2.1 (2022), Paper No. 5, 9pp

38. Sami Assaf. “Demazure crystals for Kohnert polynomials”. In: Trans. Amer. Math. Soc. 375.3 (2022), pp. 2147–2186

37. Sami Assaf and Stephanie van Willigenburg. “Skew key polynomials and a generalized Littlewood‑Richardson rule”. In: Euro‑ pean J. Combin. 103 (2022), Paper No. 103518

36. Sami H. Assaf. “Weak dual equivalence for polynomials”. In: Ann. Comb. 26.3 (2022), pp. 571–591

35. Sami Assaf and Dominic Searles. “Kohnert polynomials”. In: Experimental Mathematics 31.1 (2022), pp. 93–119

34. Sami Assaf and Nicolle González. “Affine Demazure crystals for specialized nonsymmetric Macdonald polynomials”. In: Algebr. Comb. 4.5 (2021), pp. 777–793

33. Sami H. Assaf. “A generalization of Edelman‑Greene insertion for Schubert polynomials”. In: Algebr. Comb. 4.2 (2021), pp. 359– 385

32. Sami Assaf and Nicolle González. “Demazure crystals for specialized nonsymmetric Macdonald polynomials”. In: J. Combin. Theory Ser. A 182 (2021), pp. 105463, 75

31. Sami Assaf and Ezgi Kantarci Oğuz. “Toward a Local Characterization of Crystals for the Quantum Queer Superalgebra”. In: Ann. Comb. 24.1 (2020), pp. 3–46

30. Sami H. Assaf and David E. Speyer. “Specht modules decompose as alternating sums of restrictions of Schur modules”. In: Proc. Amer. Math. Soc. 148.3 (2020), pp. 1015–1029

29. Sami Assaf and Nantel Bergeron. “Flagged ( P, 𝜌 ) ‑partitions”. In: European J. Combin. 86 (2020), p. 103085

28. Sami Assaf and Stephanie van Willigenburg. “Skew key polynomials and the key poset”. In: Sém. Lothar. Combin. 82B (2020), Art. 77, 12

27. Sami Assaf and Dominic Searles. “Skew polynomials and extended Schur functions”. In: Sém. Lothar. Combin. 82B (2020), Art. 31, 12

26. Sami Assaf. “An inversion statistic for reduced words”. In: Adv. in Appl. Math. 107 (2019), pp. 1–21

25. Sami Assaf and Nicolle S. González. “Crystal graphs, key tabloids, and nonsymmetric Macdonald polynomials”. In: Sém. Lothar. Combin. 80B (2018), Art. 81, 12

24. Sami Assaf and Danjoseph Quijada. “A Pieri rule for key polynomials”. In: Sém. Lothar. Combin. 80B (2018), Art. 78, 12

23. Sami Assaf and Ezgi Kantarcı Oğuz. “Crystal graphs for shifted tableaux”. In: Sém. Lothar. Combin. 80B (2018), Art. 26, 12

22. Sami Assaf. “Nonsymmetric Macdonald polynomials and a refinement of Kostka‑Foulkes polynomials”. In: Trans. Amer. Math. Soc. 370.12 (2018), pp. 8777–8796

21. Sami Assaf and Anne Schilling. “A Demazure crystal construction for Schubert polynomials”. In: Algebr. Comb. 1.2 (2018), pp. 225–247

20. Sami Assaf. “Toward the Schur expansion of Macdonald polynomials”. In: Electron. J. Combin. 25.2 (2018), Paper 2.44, 20

19. Sami Assaf. “Shifted dual equivalence and Schur 𝑃 ‑positivity”. In: J. Comb. 9.2 (2018), pp. 279–308

18. Sami Assaf and Dominic Searles. “Kohnert tableaux and a lifting of quasi‑Schur functions”. In: J. Combin. Theory Ser. A 156 (2018), pp. 85–118

17. Sami Assaf. “Tableau models for Schubert polynomials”. In: Sém. Lothar. Combin. 78B (2017), Art. 12, 12

16. Sami Assaf and Dominic Searles. “Slide polynomials”. In: Sém. Lothar. Combin. 78B (2017), Art. 11, 12

15. Sami Assaf and Dominic Searles. “Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi‑Yamanouchi pipe dreams”. In: Adv. Math. 306 (2017), pp. 89–122

14. Sami Assaf, Noah Forman, and Jim Pitman. “The quantile transform of simple walks and Brownian motion”. In: Electron. J. Probab. 20 (2015), no. 90, 39

13. Sami H. Assaf. “Dual equivalence graphs I: A new paradigm for Schur positivity”. In: Forum Math. Sigma 3 (2015), e12, 33

12. Sami H. Assaf and Sara C. Billey. “Affine dual equivalence and 𝑘‑Schur functions”. In: J. Comb. 3.3 (2012), pp. 343–399

11. Sami Assaf, Persi Diaconis, and Kannan Soundararajan. “Riffle shuffles with biased cuts”. In: 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012). Discrete Math. Theor. Comput. Sci. Proc., AR. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2012, pp. 445–456

10. Sami Assaf, Persi Diaconis, and K. Soundararajan. “A rule of thumb for riffle shuffling”. In: Ann. Appl. Probab. 21.3 (2011), pp. 843–875

9. Sami H. Assaf and Peter R. W. McNamara. “A Pieri rule for skew shapes”. In: J. Combin. Theory Ser. A 118.1 (2011), pp. 277–290

8. Sami H. Assaf. “Cyclic derangements”. In: Electron. J. Combin. 17.1 (2010), Research Paper 163, 14

7. Sami H. Assaf and Peter R. W. McNamara. “A Pieri rule for skew shapes”. In: 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010). Discrete Math. Theor. Comput. Sci. Proc., AN. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2010, pp. 133–144

6. Sami Assaf and Adriano Garsia. “A kicking basis for the two column Garsia‑Haiman modules”. In: 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009). Discrete Math. Theor. Comput. Sci. Proc., AK. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2009, pp. 103–114

5. Sami Assaf, Persi Diaconis, and K. Soundararajan. “Riffle shuffles of a deck with repeated cards”. In: 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009). Discrete Math. Theor. Comput. Sci. Proc., AK. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2009, pp. 89–102

4. Sami H. Assaf. “A combinatorial realization of Schur‑Weyl duality via crystal graphs and dual equivalence graphs”. In: 20th An‑ nual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008). Discrete Math. Theor. Comput. Sci. Proc., AJ. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2008, pp. 141–152

3. Sami H. Assaf. “A generalized major index statistic”. In: Sém. Lothar. Combin. 60 (2008/09), Art. B60c, 14

2. Sami Hayes Assaf. Dual equivalence graphs, ribbon tableaux and Macdonald polynomials. Thesis (Ph.D.)–University of Califor‑ nia, Berkeley. ProQuest LLC, Ann Arbor, MI, 2007, p. 78

1. Sami Assaf, Li‑Chung Chen, Tegan Cheslack‑Postava, Benjamin Cooper, Alexander Diesl, Thomas Garrity, Mathew Lepinski, and Adam Schuyler. “A dual approach to triangle sequences: a multidimensional continued fraction algorithm”. In: Integers 5.1 (2005), A8, 39

ADDiTiONAL STUDENT PAPERS ADViSED (NOT CO‑AUTHORED)

  1. Ezgi Kantarcı Oğuz. “A note on Jing and Li’s type 𝐵 quasisymmetric Schur functions”. In: Ann. Comb. 23.1 (2019), pp. 159–170

  2. George Wang. “A cornucopia of quasi‑Yamanouchi tableaux”. In: Electron. J. Combin. 26.1 (2019), Paper No. 1.10, 21

  3. Nicolle S. González. “Categorical Bernstein operators and the boson‑fermion correspondence”. In: Selecta Math. (N.S.) 26.4 (2020), Paper No. 51, 64

  4. Ezgi Kantarcı Oğuz. “A shifted analogue to ribbon tableaux”. In: J. Comb. 11.1 (2020), pp. 169–202

  5. Ezgi Kantarcı Oğuz. “Descent polynomials, peak polynomials and an involution on permutations”. In: Sém. Lothar. Combin. 82B (2020), Art. 41, 7

  6. George Wang. “Locks fit into keys: a crystal analysis of lock polynomials”. In: Ann. Comb. 24.4 (2020), pp. 767–789

  7. Peter Kagey. “Expected value of letters of permutations with a given number of 𝑘‑cycles”. arXiv:2112.05281. 2021

  8. Sam Armon. “A proof of the 𝑛! conjecture for hook shapes”. In: Ann. Comb. 27.4 (2023), pp. 819–832

  9. Henry Ehrhard. “A crystal analysis of 𝑃 ‑arrays”. arXiv:2205.01834. 2022

  10. Sam Armon. “Foata‑like bijections and science fiction”. In: Sém. Lothar. Combin. 89B (2023), Art. 78, 10

  11. Peter Kagey. “Spinning switches on a wreath product”. In: J. Combin. Theory Ser. A 200 (2023), Paper No. 105795, 29

  12. Grant Bowling. “A sliding algorithm for peelable tableaux”. arXiv: 2022

  13. Peter Kagey. “Ranking and unranking restricted permutations”. In: Discrete Appl. Math. 355 (2024), pp. 247–261

  14. Henry Ehrhard. “Complete flagged homogeneous polynomials”. arXiv:2305.03241. 2023

Presentations                              

INViTED CONFERENCES

06/2023 Schubert Summer School, invited speaker Champaign, IL
05/2023 AMS Invited Address, plenary address for AMS Western Section Meeting Fresno, CA
05/2022 Open Problems in Algebraic Combinatorics, plenary speaker Minnesota, MN
05/2022 Southern California Discrete Mathematics Symposium, selected speaker Claremont, CA
05/2021 Diagrammatic and Combinatorial Methods in Representation Theory, AMS Western Meeting (virtual)
10/2020 Graduate Research Opportunities for Women, key note speaker (virtual)
04/2020 Algebraic Combinatorics Online Workshop, Mittag Leffler Institute (virtual)
01/2020 Representations of Finite Groups and Related Structures, Joint Mathematics Meeting Denver, CO
09/2019 Integrability, Combinatorics, and Representations, invited speaker Hyères, France
07/2019 Formal Power Series and Algebraic Combinatorics, refereed presentation Ljubljana, Slovenia
04/2019 Graduate Student Combinatorics Conference, key note speaker Philadelphia, PA
03/2019 Asymptotic Algebraic Combinatorics, Banff International Research Station Banff, Canada
01/2019 Representation Theory Connections to q,t‑Combinatorics, Banff International Research Station Banff, Canada
10/2018 Combinatorial and Categorical Aspects of Representation Theory, AMS Western Meeting San Francisco, CA
07/2018 Formal Power Series and Algebraic Combinatorics, plenary speaker Hanover, NH
11/2017 Combinatorial Representation Theory, AMS Western Meeting Riverside, CA
07/2017 Formal Power Series and Algebraic Combinatorics, refereed presentation London, England
04/2017 Algebraic Combinatorics, AWM Research Symposium Los Angeles, CA
02/2017 WimSoCal Symposium, key note speaker Los Angeles, CA
08/2015 Positivity in Algebraic Combinatorics, Banff International Research Station Banff, Canada
05/2015 Classification of Multiplicity‑Free Kronecker Products, Banff International Research Station Banff, Canada
11/2014 Combinatorics and Complexity of Kronecker Coefficients, American Institute of Mathematics Palo Alto, CA
03/2013 SUMR Reunion Conference honoring Frank Connolly, University of Notre Dame South Bend, IN
01/2013 Groups, Representations and Applications, Joint Mathematics Meeting San Diego, CA
01/2013 Algebraic Combinatorics and Representation Theory, Joint Mathematics Meeting San Deigo, CA
12/2012 Rational Catalan Combinatorics, American Institute of Mathematics Palo Alto, CA
07/2012 International conference on Schubert calculus, Mathematical Society of Japan Osaka, Japan
07/2012 Formal Power Series and Algebraic Combinatorics, refereed presentation Nagoya, Japan
09/2011 Symmetric Functions and Symmetric Group Characters, AMS Southeast Meeting Winston‑Salem, NC
11/2010 Quasisymmetric Functions, Banff International Research Station Banff, Canada
11/2010 Algebraic and Topological Combinatorics, AMS Central Meeting Notre Dame, IN
09/2010 Triangle Lectures in Combinatorics, plenary speaker Durham, NC
07/2010 Affine Schubert Calculus, Fields Institute Toronto, Canada
06/2010 Minisymposium on Combinatorial Representation Theory, SIAM Discrete Math Conference Austin, TX
04/2010 Partition Theory and Combinatorics of Symmetric Functions, AMS Central Meeting St Paul, MN
04/2010 Combinatorial Representation Theory, AMS Central Meeting St Paul, MN
03/2010 Combinatorial representation theory, Mathematisches Forschungsinstitut Oberwolfach Oberwolfach, Germany
03/2010 Localization techniques in equivariant cohomology, American Institute of Mathematics Palo Alto, CA
01/2010 Enumerative Combinatorics, Joint Mathematics Meeting San Francisco, CA
10/2009 Algebraic Combinatorics, AMS Eastern Meeting University Park, PA
07/2009 Formal Power Series and Algebraic Combinatorics, refereed presentation Hagenberg, Austria
01/2009 Algebraic Geometry and Related Fields, Mathematical Sciences Research Institute Berkeley, CA
10/2008 Combinatorial Representation Theory, AMS Western Regional Meeting Vancouver, Canada
06/2008 Formal Power Series and Algebraic Combinatorics, refereed presentation Valparaiso, Chile
04/2008 MIT Women In Mathematics: A Celebration, Massachussetts Institute of Technology Cambridge, MA
01/2008 Combinatorial Representation Theory, Mathematical Sciences Research Institute Berkeley, CA
09/2007 Applications of Macdonald Polynomials, Banff International Research Station Banff, Canada
07/2007 Formal Power Series and Algebraic Combinatorics, refereed presentation Tianjin, P.R. China
05/2007 Combinatorial Hopf Algebras and Macdonald polynomials, Le Centre de Rescherches Mathematiques Montreal, Canada
04/2007 Algebraic Combinatorics, AMS Western Regional Meeting Tuscon, AZ
07/2005 Generalized Kostka polynomials, American Institute of Mathematics Palo Alto, CA
SEMiNARS AND COLLOQUiA
10/2023 CCMS Colloquium, Claremont McKenna College Claremont, CA
03/2023 Combinatorics Seminar, UC San Diego San Diego, CA
03/2023 Schubert Seminar, Online Inter‑University Seminar (virtual)
04/2022 Algebra Seminar, University of Southern California Los Angeles, CA
09/2020 Algebraic Combinatorics Seminar, Institute of Mathematical Sciences (IMSc) (virtual)
11/2019 Algebraic Combinatorics Seminar, Fields Institute Toronto, CA
04/2019 Combinatorics and Algebraic Geometry Seminar, University of Pennsylvania Philadelphia, PA
11/2018 Rising Stars Colloquium, Pacific Institute for Mathematical Sciences Vancouver, Canada
11/2018 Combinatorics Seminar, University of British Columbia Vancouver, Canada
10/2018 Combinatorics Seminar, University of California Berkeley Berkeley, CA
10/2018 Colloquium, California Institute of Technology Pasadena, CA
09/2018 Algebra Number Theory, Combinatorics Seminar, Claremont McKenna College Claremont, CA
09/2018 Algebra and Combinatorics Seminar, North Carolina State University Raleigh, NC
09/2018 Geometry Seminar, University of North Carolina Chapel Hill, NC
09/2017 Combinatorics Seminar, Stanford University Palo Alto, CA
05/2017 Combinatorics Seminar, UCLA Los Angeles, CA
04/2016 Combinatorics Seminar, California Institute of Technology Pasadena, CA
04/2014 Lie Theory Seminar, University of Notre Dame South Bend, IN
02/2013 Algebra, Number Theory, Combinatorics Seminar, Pomona College Claremont, CA
02/2013 Combinatorics Seminar, UCLA Los Angeles, CA
10/2012 Colloquium, North Carolina School of Science and Mathematics Durham, NC
05/2012 Colloquium, University of Cape Town Cape Town, South Africa
05/2012 Undergraduate colloquium, University of Cape Town Cape Town, South Africa
02/2012 Colloquium, University of Southern California Los Angeles, CA
10/2011 Colloquium, San Jose State University San Jose, CA
10/2011 Combinatorics Seminar, MIT Cambridge, MA
10/2011 Colloquium, San Francisco State University San Francisco, CA
10/2011 Combinatorics Seminar, UC Berkeley Berkeley, CA
05/2011 Colloquium, Carleton College Northfield, MN
03/2011 Colloquium, Center for Communications Research La Jolla, CA
03/2011 Women in Math Lectures, Smith College Northampton, MA
02/2011 Geometry Seminar, University of North Carolina Chapel Hill, NC
01/2011 Colloquium, University of Texas at Austin Austin, TX
01/2011 Special Colloquium, UC San Diego La Jolla, CA
02/2010 Colloquium, University of Southern California Los Angeles, CA
02/2010 Colloquium, Dartmouth College Hanover, NH
01/2010 Distinguished Visiting Professor Lectures, Bucknell University Lewisburg, PA
01/2010 Combinatorics Seminar, University of Minnesota Minneapolis, MN
01/2010 Colloquium, University of Minnesota Minneapolis, MN
11/2009 Geometry‑Algebra‑Singularities‑Combinatorics Seminar, Northeastern University Boston, MA
11/2009 Algebra Seminar, University of Connecticut Storrs, CT
11/2009 Combinatorics Seminar, University of Michigan Ann Arbor, MI
10/2009 Algebra and Combinatorics Seminar, North Carolina State University Raleigh, NC
03/2009 Undergraduate Mathematics Association Lecture Series, MIT Cambridge, MA
03/2009 Combinatorics and Algebraic Geometry Seminar, University of Pennsylvania Philadelphia, PA
01/2009 Combinatorics Seminar, UC San Diego La Jolla, CA
10/2008 Combinatorics Seminar, MIT Cambridge, MA
10/2008 Probability Seminar, MIT Cambridge, MA
10/2008 Combinatorics and Geometry Seminar, University of Washington Seattle, WA
04/2008 Combinatorics Seminar, MIT Cambridge, MA
11/2007 Combinatorics and Probability Seminar, University of Pennsylvania Philadelphia, PA
11/2007 Algebra Seminar, North Carolina State University Raleigh, NC
10/2007 Colloquium, UC San Diego La Jolla, CA
04/2007 Combinatorics Seminar, University of Minnesota Minneapolis, MN
04/2007 Colloquium, University of Notre Dame South Bend, IN
12/2006 Combinatorics Seminar, MIT Cambridge, MA
11/2006 Combinatorics and Probability Seminar, University of Pennsylvania Philadelphia, PA
11/2006 Representation Theory, Geometry and Combinatorics Seminar, UC Berkeley Berkeley, CA
10/2006 Discrete Mathematics and Representation Theory Seminar, UC Davis Davis, CA

Students Advised                             

GRADUATED PH.D. STUDENTS

08/2023 Ph.D. Henry Ehrhard, University of Southern California

Thesis title: Colors, Kohnert’s Rule, and Flagged Kostka Coefficients

First position:

05/2023 Ph.D. Grant Bowles, University of Southern California

Thesis title: Characters of Flagged Schur Modules and Compatible Slides

First position: Integra FEC, Data Scientist 08/2022 Ph.D. Peter Kagey, University of Southern California

Thesis title: Permutations, Statistics, and Switches

First position: Harvey Mudd College, Visiting Assistant Professor 08/2021 Ph.D. Danjoseph Quijada, University of Southern California

Thesis title: A Pieri rule for key polynomials

First position: Art of Problem Solving, Instructor 05/2019 Ph.D. Nicolle González, University of Southern California

Thesis title: Categorical operators and crystal structures on the ring of symmetric functions

First position: UCLA, UC President’s Postdoctoral Scholar 08/2018 Ph.D. Ezgi Kantarcı Oğuz, University of Southern California

Thesis title: Advances in the combinatorics of shifted tableaux

First position: KTH Royal Institute of Technology, Postdoctoral Scholar

GRADUATED MASTERS STUDENTS

05/2024 M.A. John Borger, University of Southern California

Thesis title: Bijection between reduced words and balanced tableaux

First position: West Point Academy, Lecturer 05/2023 M.A. Reena Somani, University of Southern California

Thesis title: A proposed bijection for the K‑Kohnert rule for Grothendieck polynomials

First position: University of Chicago, Ph.D. Student

CURRENT GRADUATE STUDENTS

Ph.D. Sam Armon, University of Southern California

POSTDOCTORAL SCHOLARS

2024‑2025 Josh Swanson, University of Southern California 2021‑2024 Anne Dranowski, University of Southern California 2018‑2021 Brendan Pawlowski, University of Southern California 2015‑2018 Dominic Searles, University of Southern California

UNDERGRADUATE STUDENTS

2022‑2023 Reena Somani, University of Southern California B.S.‑M.A. 2023 Next position: Ph.D. student at Uiversity of Chicago

2017‑2018 Sabrina Enriques, University of Southern California B.A. 05/2018

Next position: NSF Graduate Research Fellow in Mathematics at University of California, Davis 2015‑2016 George Wang, University of Southern California, B.S. 05/2016

Next position: NSF Graduate Research Fellow in Mathematics at University of Pennsylvania 2010‑2011 Jon Schneider, Massachusetts Institute of Technology

Professional Activities                           

SERViCE TO THE UNiVERSiTY OF SOUTHERN CALiFORNiA

2024‑25 Dean’s Leadership Fellow for Physical Sciences and Mathematics, USC Dornsife 2022‑25 Women in Science and Engineering Advisory Committee, USC Dornsife

04/2018 Mentoring Award Selection Committee, USC Office of the Provost 02/2018 Internal Grant Reviewer, USC Zumberge Individual Grants

2014‑15 Candidate Interviewer, USC Dornsife Trustee and Presidential Scholarships

03/2014 Visions and Voices interdisciplinary program, “Truth Values”PIs: Sami Assaf, KC Cole

SERViCE TO THE USC DEPARTMENT OF MATHEMATiCS

2023– Director of Graduate Studies, Department of Mathematics 2022–2023 Associate Director of Graduate Studies, Department of Mathematics

2016– Website Committee, Combinatorics page, Department of Mathematics 2012– USC Combinatorics Seminar, founder and ongoing organizer 2011–2022 Library services, Department of Mathematics Faculty liaison

2012–2013 USC Undergraduate Math Club, Faculty organizer for creation

SERViCE TO OTHER DEPARTMENTS OF MATHEMATiCS

2009–2011 Organizer of the Combinatorics Seminar, MIT

2008–2008 Organizer of the Postdoc Seminar, Mathematical Sciences Research Institute 2004–2005 Member of the Mathematics Department Webpage Committee, UC Berkeley 2003–2004 President of the Noetherian Ring, UC Berkeley

2001–2002 Co‑organizer of the Mentor Lecture Series, UC Berkeley

SERViCE TO PROFESSiONAL ORGANiZATiONS

2019–2021 AMS Nominating Committee (chair in 2020), American Mathematical Society (elected) 2013–2016 AWM / AMS Noether Lecture Committee, American Mathematical Society (appointed)

CONFERENCE ORGANiZATiON

05/2023 AMS Western Section Meeting, Special Session organizer Fresno, CA
05/2022 Southern California Discrete Mathematics Symposium, organizing committee Claremont, CA
04/2021 Southern California Discrete Mathematics Symposium, organizing committee Los Angeles, CA
07/2020 Formal Power Series and Algebraic Combinatorics, program committee Ramat‑Gan, Israel
05/2020 AMS Western Section Meeting, Special Session organizer Fresno, CA
01/2020 Southern California Discrete Mathematics Symposium, organizer Los Angeles, CA
05/2019 Southern California Discrete Mathematics Symposium, organizer Claremont, CA
05/2018 Southern California Discrete Mathematics Symposium, organizer Los Angeles, CA
11/2017 AMS Western Section Meeting, Special Session organizer Riverside, CA
01/2011 Joint Mathematics Meeting, organizer for AWM Schafer Minisymposium New Orleans, LA
04/2008 Bay Area Discrete Math Day, local organizer Berkeley, CA

OUTREACH FOR PRE‑K TO 12 STUDENTS

2022–2025 Venice Math Circle, Founder and director, serving grades 5‑8 2017–2020 Venice Math Circle, Founder and director, serving grades PreK–3

04/2017 UCLA Math Circle, Special Lecturer for grades 9–12 04/2014 Mirman School Math Day, Keynote speaker for grades K–8

10/2012 North Carolina School of Science and Mathematics, Colloquium speaker for grades 11–12