20172018 General Catalog
Mathematics (Graduate Program)


Program Overview
The Department of Mathematics offers graduate studies leading to the Master of Science (MS) and Doctor of Philosophy (PhD) degrees. The department has 52 professors plus a number of postdoctoral and visiting faculty. The broad range of research specialties represented by the faculty provide for a PhD student to specialize in a wide variety of areas of pure and applied mathematics, including algebra, algebraic geometry, algebraic topology, knot theory, graph theory, matroid theory, optimization, control theory, partial differential equations, mathematics of materials science, scientific computing and numerical analysis, integral and evolution equations, Lie group representations, harmonic analysis, representation theory, number theory, quadratic forms, probability theory, stochastic analysis, mathematical physics, and topological algebra.
Administration
Admission
Applications and supporting materials for all graduate study must be submitted through the LSU Graduate School online application site that can be accessed at http://www.lsu.edu/graduateschool/. Official transcripts, official test scores, and other materials that come from thirdparty sources must be mailed to: Graduate Student Services, 114 West David Boyd Hall, Baton Rouge, LA 70803. These paper documents are stored electronically and departments have access to all materials submitted by and/or on behalf of a student applying to graduate study.
Applications for admission for the fall semester should be received with all supporting documents by January 15. Late applicants will be considered so long as openings remain. Complete detailed departmental instructions for application are given at www.math.lsu.edu/grad/applprocd. Applicants must adhere to the application deadlines and requirements established by the Graduate School.
Students seeking admission must submit satisfactory credentials from previous college and/or graduate study, GRE general test scores, and three letters of recommendation. These letters are very important and should be written by professors, who can attest from direct knowledge to the applicant’s readiness for graduate study in mathematics. A statement of purpose presenting the student’s mathematical experience, interests, and goals must be provided. International students whose native language is not English must also submit an acceptable TOEFL, IELTS, or PTE score.
Financial Assistance
The Department offers a wide variety of financial aid in the form of teaching assistantships, research assistantships, fellowships and traineeships. These are detailed at http://www.math.lsu.edu/grad/funding. There is a required “Statement of Purpose” which must be included as part of the application. It is needed so that the department can ascertain whether the student’s experience, preparation, and goals are compatible with the department’s research interests and programs. To ensure consideration for all available forms of financial aid, all application materials, with full supporting documents, should be submitted through the LSU Graduate School online application site that can be accessed at http://www.lsu.edu/graduateschool/, and in accordance with deadlines and requirements established by the LSU Graduate School. The department will consider late applications, but offers of financial aid will be made beginning in February. Late applicants can be considered for remaining openings or for declined financial aid offers.
Graduate Faculty
(check current listings by department by clicking this link)
Pramod Achar (M) • Representation theory of algebraic groups
William A. Adkins (M) • Analytic geometry, linear algebra over commutative rings
Yaniv Almog (M) • GinzburgLandau theory of superconductivity, fluid mechanics
Yuri Antipov (M) • Integral and functional equations of continuum mechanics
Scott Baldridge (M) • Geometric topology, differential geometry, gauge theory
Blaise Bourdin (M) • Mathematics of materials science, scientific computing, optimal design
Susanne C. Brenner (M) • Scientific computing & numerical analysis, multigrid methods
Luca Candelori (3F) • Number theory, automorphic forms
Benjamin Clark (3F) • Matroid theory, Graph Theory
Daniel Cohen (M) • Topology and combinatorics
Pierre E. Conner, Jr. (EM) • Topology, algebra
Pallavi Dani (M) • Geometric group theory
Oliver Dasbach (M) • Knot theory, braid groups, lowdimensional topology
Mark G. Davidson (M) • Representations of Lie groups
Charles N. Delzell (M) • Real algebraic geometry
Amanda Diegel (3F) • Numerical Analysis
Guoli Ding (M) • Graph theory, combinatorics
Ricardo Estrada (M) • Asymptotic expansions, Fourier analysis, integral equations
Arnab Ganguly (6A) • Probability, stochastic analysis
Patrick M. Gilmer (M) • Knot theory and lowdimensional manifolds
Cristi Guevara (3F) • Applied analysis
Hongyu He (M) • Representation Theory and Harmonic Analysis
Christopher A. Hermosilla Jimenez (3F) • Optimal control, calculus of variations
Jerome W. Hoffman (M) • Algebraic geometry
HuiHsiung Kuo (EM) • Probability
Jimmie D. Lawson (EM) • Topological algebra
Robert P. Lipton (M) • Calculus of variations and PDE, optimal material design
Amha Lisan (M) • Topological algebra
Richard A. Litherland (M) • Algebraic topology, knot theory
Ling Long (M) • Number theory
James J. Madden (M) • Algebraic geometry
Karl E. Mahlburg (6A) • Number theory, combinatorics
Michael Malisoff (M) • Control theory and nonlinear differential equations
Emily Marshall (3F) • Combinatorics, graph theory
Jorge Morales (EM) • Quadratic forms
Frank M. Neubrander (M) • Operator semigroup, partial differential equations
SiuHung Ng (M) • Hopf algebras and tensor categories, quantum groups
Phuc Cong Nguyen (M) • Partial differential equations, harmonic analysis, nonlinear potential theory
Augusto Nobile (EM) • Algebraic geometry
Gestur Olafsson (M) • Lie groups
Bogdan Oporowski (M) • Graph theory
James G. Oxley (M) • Matroid theory, graph theory
Robert V. Perlis (M) • Algebraic number theory
James R. Retherford (EM) • Functional analysis
Leonard F. Richardson (M) • Harmonic analysis on homogeneous spaces
Boris Rubin (M) • Harmonic analysis, Radon transforms, wavelets
Daniel Sage (M) • Representation theory, algebraic geometry, material science
Ambar Sengupta (M) • Probability, mathematical physics
Stephen Shipman (M) • Photonic band gap materials, discrete nonlinear Schrodinger equations
Lawrence J. Smolinsky (M) • Knot theory, algebraic topology
Padmanaban Sundar (M) • Probability and statistics
Liyeng Sung (M) • Partial differential equations, scientific computing
Michael M. Tom (M) • Partial differential equations
FangTing Tu (6A) • Number Theory
Stefan Van Zwam (6A) • Combinatorics, especially matroid theory, computational combinatorics
David Shea VelaVick (6A) • Contact and symplectic geometry, lowdimensional topology, Riemannian geometry
Dirk Vertigan (M) • Combinatorics
Shawn Walker (6A) • Finite element methods, free boundary problems, PDEconstrained (shape) optimization
Xiaoliang Wan (M) • Stochastic modeling, numerical methods for stochastic PDEs, minimum action method
Peter R. Wolenski (M) • Control theory
Milen Yakimov (M) • Integrable systems, representation theory, and Poisson geometry
Hongchao Zhang (M) • Nonlinear optimization and its applications, numerical analysis, numerical linear algebra
Jiuyi Zhu (6A) • Partial differential equations, harmonic analysis, geometric analysis
ProgramsDoctor of PhilosophyMaster of ScienceGraduate Certificate
