Presentations

Hypertoric mirror symmetry Thursday, November 5, 2020:

nw-2020.pdf

I’ve frequently heard the assertion that “hyperkahler manifolds are self-mirror up to rotation.” I’m not so sure this is true in general, but I know one example of such a variety: multiplicative hypertoric varieties; these are what happens when you cut up a real torus into polytopes, and then send the polytopes to have a toric hyperkahler party. I’ll discuss recent work with Gammage and McBreen showing that self-homological homological mirror symmetry after rotation...

Coulomb branches and cylindrical KLRW algebras Friday, September 11, 2020:

categorification-2020-i.pdf

categorification-2020-ii.pdf

video of the talk: part I

video of the talk: part II

Abstract: Remarkable work of Braverman-Finkelberg-Nakajima has constructed, based on some fancy quantum field theory, a fascinating collection of spaces called "Coulomb branches." The definition of these involves the geometry of affine Grassmannians, and thus is not so easy for many people think about. Luckily, the algebraic tools for understanding the most...

Tensor functors and categorification Thursday, August 20, 2020:

qrst.pdf

video of the talk

Abstract: One key tool in understanding categories of representations of Lie (super)algebras and quantum groups is how the fun tour of tensor product with finite dimensional representations behaves. I’ll first explain how my work as well as that of many others has led to a good understanding of this in the type A case, and then say a few words about how we might generalize to BCD types.

Academic Integrity in the Time of COVID-19, at online, Wednesday, August 12, 2020:

arc_slides_2020.pptx

I gave a talk at the SOA's Actuarial Research Conference, hosted by the University of Nebraska-Lincoln. A video recording of the talk can be found here: https://www.youtube.com/watch?v=3IL2a7L1WEw and the slides are below. Read more about Academic Integrity in the Time of COVID-19

Howe to translate Gelfand-Tsetlin Wednesday, August 12, 2020

video of the talk

Soergel bimodules have natural manifestations in 3 different contexts: combinatorial (i.e. diagrammatic calculus), geometric (i.e. perverse sheaves on the flag variety) and representation theoretic (i.e. Harish-Chandra bimodules/category O).

In each of these contexts, there are generalizations that might interest you:

on the combinatorial side, there is a categorification of the kth tensor power of C^n via KLRW algebras, studied by Khovanov-Lauda-Sussan-Yonezawa...

3d mirror symmetry and its discontents Monday, August 10, 2020

video of the talk

One of the central topics of the interaction between QFT and math is mirror symmetry for 2d theories. This theory has a more mysterious and exotic friend one dimension higher, sometimes called 3d mirror symmetry, which relates two 3-dimensional theories with N=4 supersymmetry. For roughly a decade, I struggled to understand this phenomenon without understanding what most of the words in the previous sentence meant. Eventually, I wised up and based on work of Braverman, Finkelberg, Nakajima, Dimofte,...

Authentic and Effective Assessment for Online Education, at online, Thursday, July 30, 2020:

readi_seminar_final.pdf

I was invited to give a seminar on online education to the lecturers from many universities in Indonesia through the READI (Risk Management, Economic Sustainability, and Actuarial Science Development in Indonesia) program. I talked about creating connections, reducing cheating, and using assessments in online teaching.

The presentation was recorded and can be viewed here: https://www.youtube.com/watch?v=tjmRoy5k6hs&feature=youtu.be&t=396

Teaching Circle -- Sue Chiblow, Diane Longboat, and Dr. Vandana Shiva, at University of Waterloo, Tuesday, July 14, 2020

This conversation with Vandana Shiva, Diane Kahontakwas Longboat, and Sue Chiblow was moderated by Jodi Koberinski.

CLICK ON THE LINK for a recording of this presentation: Teaching Circle July 2020

"Our paths crossed in the summer of 2016, when the TEK Elders Group asked Kahontakwas to arrange a meeting with Vandana Shiva at the office of the Chiefs of Ontario.

This talking circle was an opportunity for three powerful women, all voices for ecological justice, to...

“Cutting Dollfuss Up to Size: Political Cartooning and the Rise of Austro-Fascism”, at The Resonance of Comics: Social Impact and Possible Futures, The Eleventh International Graphic Novel and Comics Conference, London, UK (virtual), Wednesday, July 1, 2020

Adaptation Through Learning: Using Machine Learning to Improve Forest Wildfire Management Thursday, June 18, 2020:

reworkcrisistalk2020-markcrowley.pdf

My at a special Re-Work event on how Artificial Intelligence and Machine Learning are being used to understand and prepare for managing Forest Wildfires.

AI for Crisis Prediction & Management

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