Mikhail Khovanov's lectures series:

https://math.virginia.edu/ims/lectures/mikhail-khovanov/

The workshop:

https://math.virginia.edu/ims/workshop-spring-2022/

The Department of Mathematics at UVa invites applications for two RTG (Research Training Group) postdoctoral positions, in the fields of geometry and topology.

https://uva.wd1.myworkdayjobs.com/en-US/UVAJobs/job/Charlottesville-VA/RTG-Research-Associate-and-Lecturer_R0028977

https://www.mathjobs.org/jobs/list/18324

https://uva.theopenscholar.com/slava-krushkal/math-circle

This is a reading group on invariants of 4-manifolds from Khovanov homology, in particular the skein lasagna module defined by Morrison-Walker-Wedrich. Participants are graduate students, postdocs and faculty interested in the subject. Please contact Slava Krushkal if you are interested in participating.

The main object of study is the geometry of curves and surfaces. Topics include: higher-dimensional manifolds, the Gauss map, parallel transport, curvature of curves and surfaces, the first and second fundamental forms, surface area and volume, geodesics, the exponential map, the Gauss-Bonnet theorem.

http://www.birs.ca/events/2021/5-day-workshops/21w5105

Math 4750: Introduction to Knot Theory

Knot theory is a classical subject concerning knotting and linking in 3-space. Many new and interesting developments took place in this subject over the last 30 years. This class will give an overview of both classical and recent results: the Kauffman bracket and the Jones polynomial; the Alexander polynomial; Khovanov homology; Seifert surfaces; examples and classes of knots: torus knots, alternating knots, hyperbolic knots; intrinsic knotting of graphs; colorings and relation to combinatorics of planar graphs; knotting and linking in higher dimensions.

Math 7830: Fiber Bundles

Course material: Vector bundles, principal bundles, characteristic classes (Stiefel-Whiteney, Chern, Pontryagin). Orientability, Euler class. Classifying spaces (for vector bundles and principal bundles). Spectral sequences: Leray-Serre and applications. Elements of K-theory.

https://uva.theopenscholar.com/slava-krushkal/fall-2020-program

This is a reading group on quantum invariants of 3-manifolds and (quantum) modular forms; most participants are graduate students interested in the subject. Please contact Slava Krushkal if you are interested in participating. https://collab.its.virginia.edu/portal/site/f970c884-a3e3-4114-8964-215c31cddff7

https://www.simonsfoundation.org/2019/03/15/2019-simons-fellows-in-mathematics-and-theoretical-physics-announced/