Alex Chandler

Alex Chandler

Krener Assistant Professor

University of California, Davis

Biography

I am currently Krener Assistant Professor in the Mathematics Department at the University of California, Davis, working under the supervision of Eugene Gorsky. I was awarded my PhD in May 2019 from North Carolina State University under the advisement of Radmila Sazdanovic. My PhD thesis “On Thin Posets and Categorification” focuses on the topics of knot theory, graph theory, topological combinatorics, and categorification. Before my graduate studies at NCSU, I received degrees in math and physics at Michigan State University with concentration in combinatorics and representation theory. My current research focuses on the use of tools from the theory of sheaf cohomology for sheaves on partially ordered sets to study and compare categorified invariants of knots, graphs, and low-dimensional manifolds.

Interests

  • Machine Learning
  • Combinatorics
  • Graph Theory
  • Low Dimensional Topology (Knot Theory)

Education

  • PhD in Mathematics, May 2019

    North Carolina State University

  • BSc in Mathematics, May 2014

    Michigan State University

  • BSc in Physics, May 2014

    Michigan State University

Experience

 
 
 
 
 

Krener Assistant Professor

University of California, Davis

Aug 2021 – Present Davis, California, USA
Working under the supervision of Eugene Gorsky on data science applications towards HOMFLY-PT homology of knots. Teaching courses in the mathematics department. Research mentoring undergraduate Mathematics and CS students. Algebra and Descrete Mathematics (ADM) Seminar organizer
 
 
 
 
 

Postdoctoral Researcher

University of Vienna

Aug 2019 – Jun 2021 Vienna, Austria
Working under the supervision of Anton Mellit on the FWF project titled Macdonald Polynomials and Related Structures in Geometry
 
 
 
 
 

Graduate Teaching Assistant

North Carolina State University

Aug 2014 – May 2019 Raleigh, North Carolina
Instructor of record for 4 semesters of multivariable calculus, 3 semesters of single-variable calculus. Teaching assistant and grader for abstract algebra.
 
 
 
 
 

Undergraduate Teaching Assistant

Michigan State University

Jan 2011 – May 2014 East Lansing, Michigan
Supervisor of the math department tutoring branch outreach to the dormitory-based neighborhood centers. Worked as a recitation leader and grader for differential equations, abstract algebra, and introductory proof-based courses.

Publications

Recent & Upcoming Talks

Doubly Periodic Tableaux, the GL_n-DAHA, and Quantum Groups

On the Strength of Chromatic Symmetric Homology

On the Strength of Chromatic Symmetric Homology

Torsion in Thin Regions of Khovanov Homology

Torsion in Thin Regions of Khovanov Homology

Thin Posets and Categorification

Thin Posets and Diamond Transitivity

Torsion in Khovanov Homology of Locally Thin Links

Thin Posets, Homology Theories, and Categorification

Torsion in Khovanov homology of 3-Braids

Thin Posets and Diamond Transitivity

won ‘‘best presentation award’’

Thin Posets and Homology Theories

Torsion in Khovanov homology of 3-strand torus links

Categorification of the Vandermonde Determinant

Categorification of the Vandermonde Determinant

A Categorification of the Laguerre Polynomials

Out and About with Topological Quantum Field Theories

Frobenius Algebras and Topological Quantum Field Theories

Gave 4 chalk talks and organized problem sessions on Khovanov homology

Skills

icon

Sage

wolfram-alpha

Mathematica

Python

Atom

Overleaf

Moodle