Graduate Courses, Summer 2026 – Spring 2027

Contact

Please direct inquiries about our graduate program to:
grad@math.lsu.edu

NOTE: This page is under construction and is not yet valid.

Summer 2026

For Detailed Course Outlines, click on course numbers.

7999-1 Problem Sessions in Algebra—practice for PhD Qualifying Exam in Algebra

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7999-2 Problem Sessions in Analysis—practice for PhD Qualifying Exam in Analysis

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7999-3 Problem Sessions in Topology—practice for PhD Qualifying Exam in Topology

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7999-4 Problem Sessions in Applied Math—practice for PhD Qualifying Exam in Applied Math

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7999-n Assorted Individual Reading Classes
  • No additional information.

8000-n Assorted Sections of MS-Thesis Research
  • No additional information.

9000-n Assorted Sections of Doctoral Dissertation Research
  • No additional information.

Fall 2026

For Detailed Course Outlines, click on course numbers. Core courses are listed in bold.

4997 Vertically Integrated Research: TBA. Prof. Bibby and Dr. Binder

  • Time: 11:30-12:20 MWF
  • Instructor: Prof. Bibby and Dr. Binder
  • Prerequisite:
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4997 Vertically Integrated Research: TBA. Profs. Achar and Bălibanu

  • Time: 10:30-11:50 TT
  • Instructor: Profs. Achar and Bălibanu
  • Prerequisite:
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7001 Communicating Mathematics I. Prof. Shipman and Dr. Ledet

  • Time: 3:00-4:50 TT
  • Instructor: Prof. Shipman and Dr. Ledet
  • Prerequisite: Consent of department. This course is required for all first-year graduate students. It is a lab course meeting for an average of two hours per week throughout the semester for one-semester-hour's credit.
  • This course provides practical training in the teaching of mathematics at the pre-calculus level, how to write mathematics for publication, and treats other issues relating to mathematical exposition. Communicating Mathematics I and II are designed to provide training in all aspects of communicating mathematics. Their overall goal is to teach the students how to successfully teach, write, and talk about mathematics to a wide variety of audiences. In particular, the students will receive training in teaching both pre-calculus and calculus courses. They will also receive training in issues that relate to the presentation of research results by a professional mathematician. Classes tend to be structured to maximize discussion of the relevant issues. In particular, each student presentation is analyzed and evaluated by the class.

7210 Algebra I. Prof. Tu

  • Time: 10:30-11:20 MWF
  • Instructor: Prof. Tu
  • Prerequisite: Math 4200 or its equivalent
  • Text: Dummit and Foote, Abstract Algebra
  • Description: This is the first semester of the first year graduate algebra sequence. It will cover the basic notions of group, ring, and module theory. Topics will include symmetric and alternating groups, Cayley's theorem, group actions and the class equation, the Sylow theorems, finitely generated abelian groups, polynomial rings, Euclidean domains, principal ideal domains, unique factorization domains, finitely generated modules over PIDs and applications to linear algebra, field extensions, and finite fields.

7230 Topics in Number Theory: TBA. Dr. DiCapua

  • Time: 2:30-3:20 MWF
  • Instructor: Dr. DiCapua
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7240 Topics in Algebraic Geometry. Prof. X. Wang

  • Time: 1:30-2:50 TT
  • Instructor: Prof. X. Wang
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7311 Real Analysis (a.k.a. Analysis I). Prof. Han

  • Time: 9:00-10:20 TT
  • Instructor: Prof. Han
  • Prerequisite: Undergraduate real analysis
  • Text:
  • Description: This is a standard introductory course on analysis based on measure theory and integration. We start by introducing sigma algebras and measures. We will then discuss measurable functions and integration of real and complex valued functions. As an example we discuss the Lebesgue integral on the line and n-dimensional Euclidean space. We also discuss the Lebesgue integral versus the Riemann integral. Important topics here are the convergence theorems, product measures and Fubini’s theorem and the Radon-Nikodym derivative. We give a short discussion of Banach spaces and Hilbert spaces. We then introduce Lp spaces and discuss the main properties of those spaces. Further topics include functions of bounded variations Lebesgue differentiation theorems, Lp and its dual. Other topics might be included depending on the time.

7350 Complex Analysis. Prof. Antipov

  • Time: 11:30-12:20 MWF
  • Instructor: Prof. Antipov
  • Prerequisite: Math 7311
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  • Description: Theory of holomorphic functions of one complex variable; path integrals, power series, singularities, mapping properties, normal families, other topics.

7365 Applied Stochastic Analysis. Prof. Ganguly

  • Time: 1:30-2:50 TT
  • Instructor: Prof. Ganguly
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7390 Seminar in Analysis: TBA. Prof. Walker

  • Time: 9:00-10:20 TT
  • Instructor: Prof. Walker
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7390 Seminar in Analysis: Advanced Convex Optimization. Prof. Wolenski

  • Time: 8:30-9:20 MWF
  • Instructor: Prof. Wolenski
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7382 Introduction to Applied Mathematics. Prof. Tarfulea

  • Time: 9:30-10:20 MWF
  • Instructor: Prof. Tarfulea
  • Prerequisite: Simultaneous enrollment in Math 7311
  • Text: Lecture notes by Massatt and Shipman
  • Description: Overview of modeling and analysis of equations of mathematical physics, such as electromagnetics, fluids, elasticity, acoustics, quantum mechanics, etc. There is a balance of breadth and rigor in developing mathematical analysis tools, such as measure theory, function spaces, Fourier analysis, operator theory, and variational principles, for understanding differential and integral equations of physics.
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7384 Topics in Material Science: TBA. Prof. Lipton

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  • Instructor: Prof. Lipton
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7386 Theory of Partial Differential Equations. Prof. Bulut

  • Time: 12:00-1:20 TT
  • Instructor: Prof. Bulut
  • Prerequisite: Math 7330
  • Text: Partial Differential Equations by L. C. Evans
  • Description: Introduction to PDE. Sobolev spaces. Theory of second order scalar elliptic equations: existence, uniqueness and regularity. Additional topics such as: Direct methods of the calculus of variations, parabolic equations, eigenvalue problems.

7490 Seminar in Combinatorics, Graph Theory, and Discrete Structures: TBA. Prof. Z. Wang

  • Time: 12:00-1:20 TT
  • Instructor: Prof. Z. Wang
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7510 Topology I. Prof. Dani

  • Time: 10:30-11:50 TT
  • Instructor: Prof. Dani
  • Prerequisite: Advanced Calculus (Math 4031)
  • Text: Topology (2nd ed.) by James R. Munkres.
  • Description: This course is a preparation course for the Core I examination in topology. It will cover general (point set) topology, the fundamental group, and covering spaces. We will also introduce simplicial complexes and manifolds. A good supplementary reference is Chapter 1 of Algebraic Topology by Allen Hatcher, available online.

7560 Riemannian Geometry. Prof. Schreve

  • Time: 9:30-10:20 MWF
  • Instructor: Prof. Schreve
  • Prerequisite: MATH 7550
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  • Description: Riemannian metrics and connections, geodesics, completeness, Hopf-Rinow theorem, sectional curvature, Ricci curvature, scalar curvature, Jacobi fields, second fundamental form and Gauss equations, manifolds of constant curvature, first and second variation formulas, Bonnet-Myers theorem, comparison theorems, Morse index theorem, Hadamard theorem, Preissmann theorem, and further topics such as sphere theorems, critical points of distance functions.

7590 Seminar in Geometry and Algebraic Topology: TBA. Prof. Bibby

  • Time: 8:30-9:20 MWF
  • Instructor: Prof. Bibby
  • Prerequisite:
  • Text:
  • Description:

7999-n Assorted Individual Reading Classes
  • No additional information.

8000-n Assorted Sections of MS-Thesis Research
  • No additional information.

9000-n Assorted Sections of Doctoral Dissertation Research
  • No additional information.

Spring 2027

For Detailed Course Outlines, click on course numbers.

4997 Vertically Integrated Research: TBA. Profs. Achar and Bălibanu

  • Time:
  • Instructor: Profs. Achar and Bălibanu
  • Prerequisite:
  • Text:
  • Description:

4997-2 Vertically Integrated Research: TBA. Dr. Filbert and Prof. Vela-Vick

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  • Instructors: Dr. Filbert and Prof. Vela-Vick
  • Prerequisite:
  • Text:
  • Description:

7002 Communicating Mathematics II. Prof. Shipman and Dr. Ledet

  • Time: TT 3:00-4:50
  • Instructor: Prof. Shipman and Dr. Ledet
  • Prerequisite: Consent of department. This course is required for all first-year graduate students. It is a lab course meeting for an average of two hours per week throughout the semester for one-semester-hour's credit.
  • This course provides practical training in the teaching of mathematics at the pre-calculus level, how to write mathematics for publication, and treats other issues relating to mathematical exposition. Communicating Mathematics I and II are designed to provide training in all aspects of communicating mathematics. Their overall goal is to teach the students how to successfully teach, write, and talk about mathematics to a wide variety of audiences. In particular, the students will receive training in teaching both pre-calculus and calculus courses. They will also receive training in issues that relate to the presentation of research results by a professional mathematician. Classes tend to be structured to maximize discussion of the relevant issues. In particular, each student presentation is analyzed and evaluated by the class.

7211 Algebra II. Prof. Ng

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  • Instructor: Prof. Ng
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  • Text:
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7230 Topics in Number Theory. Drs. Hou and Saad

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  • Instructors: Drs. Hou and Saad
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7240 Topics in Algebraic Geometry: TBA. Prof. Hoffman

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  • Instructors: Prof. Hoffman
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7320 Ordinary Differential Equations. Prof. Wolenski

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  • Instructor: Prof. Wolenski
  • Prerequisite: Core graduate-level analysis
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7330 Functional Analysis (a.k.a. Analysis II). Prof. Huang

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  • Instructor: Prof. Huang
  • Prerequisite: Math 7311 or its equivalent
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7360 Probability Theory. Prof. Fehrman

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  • Instructor: Prof. Fehrman
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7366 Stochastic Analysis. Prof. Sundar

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  • Instructor: Prof. Sundar
  • Prerequisite: Math 7311, and Math 7360 or its equivalent
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7375 Wavelets. Prof. Vempati

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  • Instructor: Prof. Vempati
  • Prerequisite: Math 7311
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7380 Seminar in Functional Analysis: TBA. Prof. Nguyen

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  • Instructor: Prof. Nguyen
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7390 Seminar in Analysis: TBA. Prof. Zhu

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  • Instructor: Prof. Zhu
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7390 Seminar in Analysis: TBA. Prof. Wan

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  • Instructor: Prof. Wan
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7390 Seminar in Analysis: TBA. Prof. Fehrman

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  • Instructor: Prof. Fehrman
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7390 Seminar in Analysis: TBA. Prof. Zhu

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  • Instructor: Prof. He
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7410 Graph Theory. Prof. Z. Wang

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  • Instructor: Prof. Z. Wang
  • Prerequisite: None
  • Text: Graph Theory by Reinhard Diestel, Fifth Edition, Springer, 2016
  • Description: The main theme of this course will be graph theory. We will discuss a wide range of topics, including spanning trees, Eulerian trails, matching theory, connectivity, hamiltonian cycles, coloring, planarity, integer flows, surface embeddings, Turan theorems, Ramsey theorems, regularity lemma, and graph minors.

7490 Seminar in Combinatorics, Graph Theory, and Discrete Structures: Matroid Theory. Prof. Oxley

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  • Instructor: Prof. Oxley
  • Prerequisite: Permission of the Instructor
  • Text: J. Oxley, Matroid Theory, Second edition, Oxford, 2011
  • Description: What is the essence of the similarity between forests in a graph and linearly independent sets of columns in a matrix? Why does the greedy algorithm produce a spanning tree of minimum weight in a connected graph? Can one test in polynomial time whether a matrix is totally unimodular? Matroid theory examines and answers questions like these.

    This course will provide a comprehensive introduction to the basic theory of matroids. This will include discussions of the basic definitions and examples, duality theory, and certain fundamental substructures of matroids. Particular emphasis will be given to matroids that arise from graphs and from matrices.

7512 Topology II. Prof. Bălibanu

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  • Instructor: Prof. Bălibanu
  • Prerequisite: Math 7510
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7550 Differential Geometry. Prof. Baldridge

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  • Instructor: Prof. Baldridge
  • Prerequisite: Math 7210 and 7510; or equivalent.
  • Text: Topology and Geometry by Glen Bredon
  • Description: Manifolds, vector fields, vector bundles, transversality, deRham cohomology, metrics, other topics.

7590 Seminar in Geometry and Algebraic Topology: TBA. Prof. Baldridge

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  • Instructor: Prof. Baldridge
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7590 Seminar in Geometry and Algebraic Topology: TBA. Prof. Dani

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  • Instructor: Prof. Dani
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7710 Advanced Numerical Linear Algebra. Prof. Zhang

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  • Instructor: Prof. Zhang
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7999-n Assorted Individual Reading Classes
  • No additional information.

8000-n Assorted Sections of MS-Thesis Research
  • No additional information.

9000-n Assorted Sections of Doctoral Dissertation Research
  • No additional information.