9/2024-8/2027: Robert Riley Visiting Assistant Professor, Binghamton University SUNY, USA (Mentor: Thomas Zaslavsky)
4/2023-8/2024: Postdoc, Leibniz Universität Hannover, Germany (Mentor: Michael Cuntz)
4/2021-3/2023: Humboldt Postdoc, Ruhr-Universität Bochum, Germany (Mentor: Gerhard Röhrle)
4/2020-3/2021: JSPS Postdoc (DC2 extended), Hokkaido University, Japan (Mentor: Masahiko Yoshinaga)
2/2014-8/2014: Lecturer, VNU University of Science, Vietnam
4/2017-3/2020: Ph.D. in Mathematics (MEXT, JSPS DC2), Hokkaido University, Japan (Advisor: Masahiko Yoshinaga)
4/2015-3/2017: M.Sc. in Mathematics (MEXT), Hokkaido University, Japan (Advisor: Hiroaki Terao)
10/2014-3/2015: Intensive Japanese Language Course (MEXT), Hokkaido University, Japan
9/2009-2/2014: B.Sc. in Mathematics (honors program 4.5 years), VNU University of Science, Vietnam (Advisor: Moshe Rosenfeld)
My research interests are mainly in combinatorics, and especially its connections with fields such as commutative algebra and algebraic topology.
I particularly like to study
1. Hyperplane arrangements
The logarithmic derivation module and free arrangements (e.g., Coxeter arrangements and their restrictions/subarrangements)
Quasi-polynomials (especially, characteristic and Ehrhart quasi-polynomials)
The minimality (related to CW complex model) of abelian Lie group arrangements (e.g., hyperplane, toric, and subspace arrangements)
Eulerian polynomials and generalizations (e.g., graphic Eulerian, (affine) W-Eulerian polynomials)
2. Matroids
Tutte polynomials and generalizations (e.g., arithmetic Tutte and G-Tutte polynomials)
Categorification of matroids (e.g., via combinatorial species and Hopf algebra)
Random models (e.g, coloring of random graphs, random walks)
Application to Optimization (e.g., submodular functions, curvatures)
Department of Mathematics and Statistics
Binghamton University, SUNY
4400 Vestal Parkway East, Binghamton, New York 13902
Email Addresses: tnhattran[(at)]binghamton.edu, trannhattan157[(at)]gmail.com, nhattan157[(at)]gmail.com