Lectures and Talks

Deformation of invertible field theories and the Freed Hopkins conjecture, Colloquium talk, University of Texas Tech

Deformation classes of invertible field theories and the Freed Hopkins conjecture, University of Lisbon slides 

Constructions using GCH, Quantum maths seminar, University of Nottingham

The geometric cobordism hypothesis, Topology seminar, University of Minnesota 

The geometric cobordism hypothesis, Geometry and Topology seminar, NYU Abu Dhabi

The geometric cobordism hypothesis, Algebra, combinatorics and geometry seminar, University of Pittsburgh

The geometric cobordism hypothesis, Topology seminar, University of Oregon 

Extended field theories are local and have classifying spaces, AG seminar, University of Regensburg

The homotopy type of the cobordism category (3 talks), Topology and Geometry seminar, TTU

Introduction to equivariant homotopy theory, Quantum homotopy seminar, TTU

Smooth stacks and Cech cocycles (2 talks), Quantum homotopy seminar, TTU

Bundle gerbes with connection, Quantum homotopy seminar, TTU

Lifting M-theory to cohomotopy via obstruction theory, Topology and Geometry seminar, TTU

RR-fields and twisted differential K-theory, UAE Math day, American University of Sharjah. Slides

An introduction to differential cohomology, Topology and Geometry seminar, TTU

The Atiyah–Hirzebruch spectral sequences for differential cohomology theories (2 talks), Topology and Geometry seminar, TTU

Twisted differential cohomology and the twisted Atiyah–Hirzebruch spectral sequence (5-talks), Topology and Geometry seminar, TTU

A differential Riemann-Roch theorem for KO-theory, The Regional Collaborative Seminar on Geometry, Topology, and Physics, NYUAD. Slides

Geometric invariants of vector bundles and the index of elliptic operators, Math colloquium, NYUAD. Slides

Twisted Differential K-theory and a refinement of the Atiyah-Hirzebruch spectral sequence, Topology seminar, KIAS. 4 talks. Slides 1, Slides 2

An Atiyah-Hirzebruch spectral sequence for twisted differential K-theory, Geometry-Topology seminar, University of Pennsylvania. Slides

An Atiyah-Hirzebruch spectral sequence for twisted differential K-theory, GAP seminar, Penn State.

Lectures on the Atiyah-Singer index theorem, Postdoc seminar, NYUAD.

Cobordism via higher geometry, Higher structures in geometry, topology and physics workshop, NYUAD. Slides

Parametrized geometric cobordism and smooth Thom stacks, Cohomology theories, categories and applications, University of Pittsburgh.

Moduli stacks and higher gerbes, UAE math day, NYUAD.

What is differential cohomology and why should you care? American University of Sharjah.

Massey products in differential cohomology, Higher structures and cohomology workshop, University of Pittsburgh.

Minimal models, geometry proseminar, University of Pittsburgh.

Sheaf, deRham, and Čech cohomology, GTP seminar, University of Pittsburgh.

Topological index theorem for differential K theory, topics course on AS index theorem, University of Pittsburgh. 

An example of a rarely seen characteristic class in ‘nature’, geometry proseminar, University of Pittsburgh.

What is a gerbe? GTP Seminar, University of Pittsburgh .