BACH V. NGUYEN ACADEMIC POSITIONS Graduate Teaching Assistant, Louisiana State University EDUCATION

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1 BACH V. NGUYEN Louisiana State University, Department of Mathematics, Baton Rouge, LA Citizenship: United States of America ACADEMIC POSITIONS Graduate Teaching Assistant, Louisiana State University EDUCATION 2018 PhD in Mathematics expected in May 2018, Advisor: Milen Yakimov 2014 MS in Mathematics, Louisiana State University 2012 BS in Pure Mathematics, University of California, Davis RESEARCH INTERESTS General: Representation Theory of Algebras, Noncommutative Algebras, and Poisson Geometry Specific: Noncommutative Discriminants, Automorphism and Isomorphism Problems, Quantum Groups, Quantum Schubert Cell Algebras, Quantised Function Algebras, Specialization at Roots of Unity, Quantum Cluster Algebras and Poisson Geometry, Quantum Nilpotent Algebras, and Quantum Foldings PUBLICATIONS and PREPRINTS 2016 (with K. Trampel and M. Yakimov) Noncommutative discriminants via Poisson primes, Adv. Math. 322 (2017), (with M. Hajja, M. Hayajneh, and S. Shaqaqha) Distances from the vertices of a regular simplex, RM, 2017, DOI: /s (with M. Hajja, M. Hayajneh, and S. Shaqaqha) Irreducibility of the Cayley Menger determinant, and of a class of related polynomials, to appear in Beitr. Algebra Geom. PAPERS in PREPARATION 2017 (with K. Trampel and M. Yakimov) Discriminants of quantum groups at roots of unity Quantum cluster structures of twisted quantum nilpotent algebras. 1

2 AWARDS and HONORS Fall 2017 Pasquale Porcelli Certificate of Excellence in Research, Department of Mathematics at Louisiana State University Spring 2016 Travel grant ($2,000) from the LSU Student Senate (with Eric Bucher, Maitreyee Kulkarni, and Kurt Trampel) SMART Grant, University of California, Davis Dean s Honor List, University of California, Davis, Winter and Fall Quarter Eric C. Ruliffson Scholarship in Mathematics, University of California, Davis Etgen Scholarship for Mathematical Excellence, American River College The California Retired Teacher Association, State Capital Division, Scholarship at American River College INVITED and PRESENTED TALKS Jan 2018 Quantum cluster algebra and quantum foldings, Joint Math Meeting: AMS Contributed Paper Session on Noncommutative Algebra and Hopf Algebras, San Diego, California. Dec 2017 Noncommutative discriminants via Poisson geometry and representation theory, Student- Run Applied and Math Seminar, University of California Davis. Nov 2017 Noncommutative discriminants via Poisson geometry and representation theory, Lie Theory Seminar, University of California, Riverside. Oct 2017 Noncommutative discriminants via Poisson geometry and representation theory, Algebra and Number Theory Seminar, Louisiana Discriminant of quantum Schubert cell algebras via Poisson geometry, PAlmetto Number Theory Series XXVIII, University of Tennessee Knoxville. Discriminants of quantum groups at roots of unity, AMS Fall Central Sectional Meeting: Special Session on Topics Related to the Interplay of Noncommutative Algebra and Geometry, University of North Texas (invited talk). May 2017 Interesting applications and recent progress on noncommutative discriminants, Gone Fishing: Poisson Geometry Conference, University of Notre Dame. Apr 2017 Aug 2016 Discriminants of quantum groups at roots of unity, AMS Spring Central Sectional Meeting: Special Session on Representation Theory and Integrable Systems, Indiana University at Bloomington (invited talk). Noncommutative discriminants: Applications and recent progress, Southern Regional Algebra Conference, University of South Alabama. Discriminants of quantum schubert cell algebras via Poisson geometry, AMS Spring Southeastern Sectional Meeting: Special Session on Representation Theory and Algebraic Mathematical Physics, College of Charleston (invited talk). Noncommutative discriminants and connections to Poisson geometry, Workshop and International Conference on Representations of Algebras, Syracuse University. 2

3 May 2016 Noncommutative discriminants and Poisson geometry, Southeastern Lie Theory Workshop: Algebraic Groups, Quantum Groups, and Geometry, University of Virginia. May 2016 Noncommutative discriminants and Poisson geometry Part II, Graduate Student Conference in Algebra, Geometry, and Topology, Temple University. CONFERENCES ATTENDED Jan 2018 Joint Math Meeting, at San Diego. Nov 2017 Third US-Mexico Conference in Representation Theory, Categorification, and Noncommutative Algebra, Mathematics Institute of UNAM in Mexico City. Nov 2017 Fall Western Sectional Meeting: Special Session on Ring Theory and Related Topics, University of California, Riverside. The Palmetto Number Theory Series XXVIII, University of Tennessee Knoxville. Fall Central Sectional Meeting: Special Session on Topics Related to the Interplay of Noncommutative Algebra and Geometry, University of North Texas. Jul 2017 A Conference in Honor of Ellen Kirkman and Martin Lorenz, Temple University. May 2017 Cluster Algebra Spring School, University of Connecticut. May 2017 Gone Fishing, University of Notre Dame. Apr 2017 Spring Central Sectional Meeting: Special Session on Representation Theory and Integrable Systems, Indiana University Bloomington. Southern Regional Algebra Conference, University South Alabama. Spring Southeastern Sectional Meeting: Special Session on Representation Theory and Algebraic Mathematical Physics, Charleston College. Jan 2017 Joint Math Meeting, at Atlanta. Aug 2016 Workshop and International Conference on Representations of Algebras, Syracuse University. May 2016 Southeastern Lie Theory Workshop: Algebraic Groups, Quantum Groups, and Geometry, University of Virginia. May 2016 Graduate Student Conference in Algebra, Geometry, and Topology, Temple University. Apr 2016 Mar 2016 Mar 2016 Feb 2016 Hopf Algebras and Actions: Seattle Workshop II, University of Washington in Seatle. Hot Topics: Cluster Algebras and Wall-crossing, MSRI. Gone Fishing, University of Colorado at Boulder. Southwest Local Algebra Meeting, Texas Nov 2015 Lie Theory Workshop: Fall 2015 Meeting of Lie Groups, Lie Algebras, and their Representations, Louisiana Oct th Southeastern Lie Theory Workshop: Algebraic and Combinatorial Representation Theory, North Carolina May 2015 Graduate Student Conference in Algebra, Geometry, and Topology, Temple University. 3

4 May 2015 Representation Theory and Related Topics, University of Connecticut. Apr 2015 Mar 2015 Mini-workshop on Algebraic Varieties, Hypergeometric Series, and Modular Forms, Louisiana Graduate Student Topology and Geometry Conference, University of Illinois at Urbana- Champaign. May 2014 Southeastern Lie Theory Workshop, University of Georgia. Apr 2014 Apr 2014 Applications of Automorphic Forms in Number Theory and Combinatorics, Louisiana State University. Graduate Student Topology and Geometry Conference, University of Texas at Austin. LOCAL TALKS Dec 2017 Feb 2017 Sep 2016 Feb 2016 Feb 2016 Dec 2015 Hecke algebra and its interesting applications, Student Algebra Seminar, Louisiana State University. Quantum groups: Definitions, motivations/ history, and applications, Student Algebra Seminar, Louisiana Introduction to orders, Student Algebra Seminar, Louisiana Poisson structures from noncommutative algebras II, Student Algebra Seminar, Louisiana Poisson structures from noncommutative algebras I, Student Algebra Seminar, Louisiana Verma modules, representation theory of Kac Moody algebras and quantum groups, Crystal Bases Seminar, Louisiana Nov 2015 Crystal bases and quantum groups: An overview, Crystal Bases Seminar, Louisiana Nov 2015 A discussion on invariant theory: Motivations and examples, Math Club, Louisiana Oct 2015 A new look into the center of the quantized enveloping algebra of a complex semisimple Lie algebra, Student Algebra Seminar, Louisiana Aug 2015 Structure theory of rings, GEAUX Program, Louisiana Jul 2015 Covering spaces and some other related topics, REU, Louisiana Feb 2015 Feb 2015 Mar 2015 Sep 2014 Schur polynomial and Littlewood Richardson rule, VIGRE Combinatorial Methods in Representation Theory, Louisiana Representations of S n and GL n (C), and the Schur functor, VIGRE Combinatorial Methods in Representation Theory, Louisiana The permanent determinant method and Haffian Pfaffian method, Math Club, Louisiana Derived category, Student Algebra Seminar, Louisiana 4

5 Feb 2014 Hopf algebra structure on U q (sl 2 ), VIGRE Diagramatic Algebra Seminar, Louisiana State University. Oct 2013 Representations of U q (sl 2 ), VIGRE Diagramatic Algebra Seminar, Louisiana Oct 2013 Quantum enveloping algebra of sl 2, VIGRE Diagramatic Algebra Seminar, Louisiana Nov 2013 N-dimensional polytopes and Mahler volume, Math Club, Louisiana TEACHING and RELATED EXPERIENCES Spring 2018 Teaching Assistant, Calculus II and III. Fall 2017 Instructor of Record, Calculus II Summer 2017 Leader of the Algebra, PhD. Qualifying Exam Problem Session Lead a small group of graduate students to review topics in groups, rings, and module theory. Spring 2017 Instructor of Record, Calculus II Fall 2016 Instructor of Record, Calculus II Summer 2016 Leader of the Algebra, PhD. Qualifying Exam Problem Session Lead a small group of graduate students to review topics in groups, rings, and module theory. Spring 2016 Instructor of Record, Calculus I Fall 2015 Instructor of Record, Calculus I Summer 2015 Graduate Student Mentor for REU Program on Invariants in Galois Theory, Geometry, and Knot Theory. Spring 2015 Instructor of Record, College Trigonometry Full teaching and lesson planning. Fall 2014 Instructor of Record, College Algebra Full teaching and lesson planning. Spring 2014 Grader, Solving Discrete Problems; Elementary Differential Equations and Linear Algebra. Fall 2013 Teaching Assistant, Calculus II. Spring 2013 Grader, Calculus II. Fall 2012 Grader, Abstract Algebra I Grader, Ordinary Differential Equations and Calculus II at American River College. 5

6 SERVICE and OUTREACH 2014 Present Organizer, LSU Student Algebra Seminar Organized graduate student algebra seminar talks with speakers from LSU and other math departments Present Member, LSU Student Colloquium Helped with inviting and hosting speakers from many different math departments all over the country to give talks and interact with students. This used to be funded by the NSF VIGRE grant and now by the Student Government Association at LSU and the Math Department Present Committee Member, GEAUX Program Helped with organizing various activities which are designed to welcome and prepare incoming graduate students for their first year Present Member, Vertically Integrated Research (VIR) Research Crew Participated in learning new research topics in algebra such as Diagrammatic Algebra and Representation Theory, Combinatorial Models in Representation Theory, and Quiver Representations and Hall Algebras. This used to be funded by the NSF VIGRE grant. Spring 2016 Proctor and Grader, LSU High School Mathematics Contest. REFERENCES Milen Yakimov (adviser), James Oxley (teaching), Kenneth Brown (research), Pramod Achar (research), 6

Xuwen Chen. Department of Mathematics, Brown University (401)

Xuwen Chen. Department of Mathematics, Brown University (401) Xuwen Chen Department of Mathematics, Brown University (401) 863-7959 chenxuwen@math.brown.edu http://www.math.brown.edu/~chenxuwen/ Education Ph.D. in Mathematics, University of Maryland, May 2012. Advisors: