{"id":227,"date":"2023-06-03T18:21:09","date_gmt":"2023-06-04T01:21:09","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/cams\/?page_id=227"},"modified":"2025-07-16T15:38:41","modified_gmt":"2025-07-16T22:38:41","slug":"research-foci","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/cams\/research-foci\/","title":{"rendered":"Research Foci"},"content":{"rendered":"\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <table border=\"0\">\n<tbody>\n<tr>\n<td>\n<h2>Research Area<\/h2>\n<\/td>\n<td>\n<h2><span id=\"MainContent_listView_researchChildrenLabel_0\">Description and Researchers<\/span><\/h2>\n<\/td>\n<\/tr>\n<tr>\n<td>Computational Science and Engineering<\/td>\n<td><span id=\"MainContent_listView_researchChildrenLabel_0\">including Analysis of High-dimensional Data Sets, Computer-aided Design, High Performance Computing, Networks<\/span><\/p>\n<div>Jernej Barbic, Roger G. Ghanem,\u00a0Edmond Jonckheere,\u00a0Rajiv Kalia,\u00a0Bhaskar Krishnamachari,\u00a0Anthony Levi, Daniel Lidar, Urbashi Mitra,\u00a0Aiichiro Nakano,\u00a0Milind Tambe,\u00a0Priya Vashishta<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td>Control Theory<\/td>\n<td><span id=\"MainContent_listView_researchChildrenLabel_1\">including Identification and Control of Infinite Dimensional or Distributed Parameter Systems, Stochastic Adaptive Control<\/span><\/p>\n<div>Jay Bartroff,\u00a0Remigijus Mikulevicius, Gary Rosen,\u00a0Fengzhu Sun,\u00a0Chunming Wang<\/div>\n<div><\/div>\n<\/td>\n<\/tr>\n<tr>\n<td>Discrete Mathematics<\/td>\n<td><span id=\"MainContent_listView_researchChildrenLabel_2\">including Algebraic, Combinatorial and Probabilistic Techniques, Coding Theory, Computational Geometry, Computational Number Theory, Cryptography, Graph Theory<\/span><\/p>\n<div>Len Adelman,\u00a0Richard Arratia, Sami Assaf, Jason Fulman, Robert Guralnick,\u00a0Ming-Deh Huang,\u00a0Aaron Lauda,\u00a0Shang-Hua Teng,\u00a0Greta Panova<\/div>\n<div><\/div>\n<\/td>\n<\/tr>\n<tr>\n<td>PDE and Fluid Dynamics<\/td>\n<td><span id=\"MainContent_listView_researchChildrenLabel_3\">including Chaotic Systems, Euler and Navier-Stokes Equations, Geophysical Flows, Turbulence<\/span><\/p>\n<div>Yu Deng, Susan Friedlander, Juhi Jang, Pranava Jayanti, Eva Kanso,\u00a0Igor Kukavica,\u00a0Paul Newton, Trinh Nguyen, Wojciech Ozanski, Guillermo Reyes Souto, Geoffrey Spedding, Qingtang Su, Haitan Yue, Mohammed Ziane<\/div>\n<div><\/div>\n<\/td>\n<\/tr>\n<tr>\n<td>Mathematical Biology<\/td>\n<td><span id=\"MainContent_listView_researchChildrenLabel_4\">including Computational Biology, Genomics, Neural Networks<\/span><\/p>\n<div>Michael Arbib, Fengzhu Sun,\u00a0Simon Tavare,\u00a0Michael Waterman,\u00a0Remo Rohs<\/div>\n<div><\/div>\n<\/td>\n<\/tr>\n<tr>\n<td>Mathematical Finance<\/td>\n<td><span id=\"MainContent_listView_researchChildrenLabel_5\">including Optimal Contracting Theory, Optimal Portfolio Management, related Stochastic Control and Game Theory<\/span><\/p>\n<div>Yingying Fan, Jin Ma,\u00a0Michael Magill,\u00a0Fernando Zapatero,\u00a0Jianfeng Zhang<\/div>\n<div><\/div>\n<\/td>\n<\/tr>\n<tr>\n<td>Probability and Statistics<\/td>\n<td><span id=\"MainContent_listView_researchChildrenLabel_6\">including Biostatistics, Machine Learning, Probabilistic combinatorics, Random Dynamical Systems, Statistics of Random Processes<\/span><\/p>\n<div>Richard Arratia,\u00a0Jay Bartroff,\u00a0Peter Baxendale, Evgeni Dimitrov,\u00a0 Julien Emile-Geay,\u00a0Yingying Fan,\u00a0Mendel Fygenson,\u00a0Larry Goldstein, Clifford Johnson,\u00a0Sergey Lototsky,\u00a0Jinchi Lv,\u00a0Chi H. Mak,\u00a0Remigijus Mikulevicius, Stanislav Minsker, Peter Radchenko,\u00a0Fei Sha,\u00a0Wenguang Sun,\u00a0Xin Tong<\/div>\n<div><\/div>\n<\/td>\n<\/tr>\n<tr>\n<td>Theoretical Computer Science<\/td>\n<td><span id=\"MainContent_listView_researchChildrenLabel_7\">including Analysis of Algorithms, Numerical Simulation<\/span><\/p>\n<div>Len Adelman, Paul Bogdan, Shaddin Dughmi,\u00a0Dorit Hochbaum,\u00a0Ming-Deh Huang,\u00a0David Kempe,\u00a0Chi H. Mak,\u00a0Aiichiro Nakano,\u00a0Shang-Hua Teng, Yan Liu<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":282,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-227","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Research Foci - Center for Applied Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/cams\/research-foci\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Research Foci - 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