Thomas Koberda headshot
TK

Thomas Michael Koberda

Associate Professor
Unit: College of Arts and Sciences
Department: Department of Mathematics
Office location and address
304 Kerchof Hall
141 Cabell Dr
Charlottesville, Virginia 22904
AS-MATH Sloan Research Fellowship - Koberda
Source: Sloan Foundation
September 15, 2017 – September 14, 2021
Homeomorphism Groups of One-manifords: Rigidity and Regularity
Source: U.S. NSF - Directorate Math. & Physical Sciences
September 01, 2017 – August 31, 2021
GAGTA 2018: Geometric and Asymptotic Group Theory with Applications
Source: U.S. National Science Foundation (NSF)
June 01, 2018 – May 31, 2019
AS-MATH Virginia Topology Conference 2016: Mapping class groups and low dimensional topology
Source: U.S. NSF - Directorate Math. & Physical Sciences
November 01, 2016 – October 31, 2017
AS-MATH Right-angled Artin subgroups of real algebraic groups
Source: The Simons Foundation, Inc.
September 01, 2016 – August 31, 2017
MATH 2310: Calculus III
Credits: 4
A continuation of Calc I and II, this course is about functions of several variables. Topics include finding maxima and minima of functions of several variables/surfaces and curves in three-dimensional space/integration over these surfaces and curves. Additional topics: conservative vector fields/Stokes' and the divergence theorems/how these concepts relate to real world applications. Prerequisite: MATH 1320 or the equivalent.
MATH 2315: Advanced Calculus and Linear Algebra I
Credits: 4
Covers the material from Math 2310 (multivariable calculus) plus topics from complex numbers, set theory, and linear algebra. Prepares students for taking advanced mathematics classes at an early stage. Credit is not given for both Math 2310 and Math 2315.
MATH 3315: Advanced Calculus and Linear Algebra II
Credits: 4
This course is a continuation of MATH 2315. Covers topics from linear algebra/differential equations/real analysis. Success in this course and MATH 2315 (grades of B- or higher) exempts the student from the math major requirement of taking MATH 3351 and MATH 3250. Students are encouraged to take more advanced courses in these areas. Prerequisite: MATH 2315.
MATH 4770: General Topology
Credits: 3
Topics include abstract topological spaces & continuous functions/connectedness/compactness/countability/separation axioms. Rigorous proofs emphasized. Covers myriad examples, i.e., function spaces/projective spaces/quotient spaces/Cantor sets/compactifications. May include intro to aspects of algebraic topology, i.e., the fundamental group. Prerequisites: MATH 2310 or 2315 or APMA 2120 and MATH 3315 or MATH 3351 or MATH 4651 or APMA 3080
MATH 4900: Distinguished Major Thesis
Credits: 3
This course provides a framework for the completion of a Distinguished Major Thesis, a treatise containing an exposition of a chosen mathematical topic. A faculty advisor guides a student through the beginning phases of the process of research and writing. Prerequisite: Acceptance into the Distinguished Major Program.
MATH 4993: Independent Study
Credits: 1–3
Reading and study programs in areas of interest to individual students. For third- and fourth-years interested in topics not covered in regular courses. Students must obtain a faculty advisor to approve and direct the program.
MATH 7070: Topics in Logic and Model Theory
Credits: 3
Covers topics in first order logic and model theory.
MATH 7751: Algebra I
Credits: 3
Studies groups, rings, fields, modules, tensor products, and multilinear functions. Prerequisite: MATH 5651, 5652, or equivalent.
MATH 7752: Algebra II
Credits: 3
Studies groups, rings, fields, modules, tensor products, and multilinear functions. Prerequisite: MATH 5651, 5652, or equivalent.
MATH 7800: Algebraic Topology I
Credits: 3
Topics include the fundamental group, covering spaces, covering transformations, the universal covering spaces, graphs and subgroups of free groups, and the fundamental groups of surfaces. Additional topics will be from homology, including chain complexes, simplicial and singular homology, exact sequences and excision, cellular homology, and classical applications. Prerequisite: MATH 5352, 5770, or equivalent.
MATH 8851: Group Theory
Credits: 3
Studies the basic structure theory of groups, especially finite groups.
MATH 9995: Independent Research
Credits: 3–9
Independent Research
MATH 9999: Non-Topical Research
Credits: 1–12
The Mathematics Colloquium is held weekly, the sessions being devoted to research activities of students and faculty members, and to reports by visiting mathematicians on current work of interest. For doctoral dissertation, taken under the supervision of a dissertation director.