Here is a list of the talks I have given or will give, many with notes or other resources:
Research Talks
Symplectic embeddings from Newton-Okounkov bodies in cluster theory, Mirror Symmetry for Cluster Varieties & Representation Theory (Kings College London, June 2024)
Mastery and praxis as formative assessment, iTeach Conference (Washington University in St. Louis, January 2024) (slides)
Mastery-based assessment for core classes, ESE Teaching Roundtable (Washington University in St. Louis, October 2023)
Symplectic embeddings for rational surfaces via Newton-Okounkov bodies; Algebraic Geometry seminar (Cornell, October 2022), Symplectic Geometry seminar (Princeton/IAS, November 2022), Algebra & Algebraic Geometry seminar (McMaster University, March 2023) (notes, video)
Reconciling mutations for cluster and Fano varieties; A Day of Geometry (Uni. of Glasgow, August 2022), Algebraic Geometry seminar (WUSTL, September 2022) (notes)
Symplectic embeddings: positivity, Newton-Okounkov bodies, and cluster varieties; FanoSearch seminar (Imperial College London, March 2022)
Positivity and symplectic embeddings; Geometry, Combinatorics, and Integrable Systems seminar (Ohio State, September 2021), Geometry & Topology seminar (WUSTL, October 2021) (notes)
Lattice formulas for rational SFT capacities; Symplectic Zoominar (SZ, June 2021) (slides, video)
Geometry of mutations: mirrors and McKay; Algebra seminar (Rutgers, April 2021) (notes)
A tale of two widths: lattice and Gromov; Combinatorics seminar (WUSTL, February 2021), Algebraic Geometry seminar (Uni. of Nottingham, April 2021) (notes, video)
Towers and subleading asymptotics of ECH; Symplectic and Contact Geometry seminar (UC Berkeley, December 2020) (notes)
Asymptotics of ECH capacities via algebraic positivity; Western Hemisphere Virtual Symplectic Seminar (WHVSS, November 2020) (slides, video)
Symplectic capacities via algebraic positivity; Algebraic Geometry seminar (WUSTL, September 2020), Algebraic Geometry seminar (UC Davis, October 2020), Seminar on Symplectic & Contact Geometry 'BACH' (Uni. of Cologne, June 2021) (slides, more slides)
Wall-crossing in the McKay correspondence; Algebraic Geometry seminar (WUSTL, April 2020), McKay Correspondence, Mutations, and Related Topics (IPMU, July 2020) (slides, video, photos), Algebra seminar (Uni. of Oregon, November 2020) (slides)
Walls for G-Hilb via Reid's recipe; Commutative Algebra & Algebraic Geometry seminar (UC Berkeley, October 2019), Informal Mathematical Physics seminar (Columbia University, November 2019), Algebraic Geometry seminar (UCSD, December 2019), JMM 2020 (Denver, January 2020), Geometry seminar (UT Austin, January 2020), Algebraic Geometry seminar (Uni. of Utah, February 2020) (slides, more slides, notes, more notes, handout)
ECH capacities, Ehrhart theory, and toric (algebraic) geometry; Symplectic & Contact Geometry seminar (UC Berkeley, September 2019), AMS Fall Meeting (UC Riverside, November 2019) and Combinatorics, Algebra & Geometry seminar (George Mason University, January 2020) (slides, more slides)
Approaching quasi-period collapse via orbifold Riemann-Roch; Geometry, Combinatorics & Integrable Systems seminar (Ohio State, February 2019) and Geometry & Combinatorics seminar (SF State, March 2019) (slides, more slides)
Hilbert series of orbifold del Pezzo surfaces; Berkeley-Tokyo Winter School on Geometry, Topology & Representation theory (UC Berkeley, February 2016) (notes), Algebraic Geometry seminar (Johns Hopkins, May 2018), AMS Fall Meeting (SF State, October 2018) (slides)
Singularities from mirror symmetry; Algebraic Geometry seminar (Nagoya Uni., June 2016)
Some thoughts on nonabelian McKay; Algebraic Geometry seminar (Nagoya Uni., June 2016)
Clusters, boats, and parallelograms; McKay Correspondence seminar (Uni. of Warwick, January 2015) (notes)
Fables of residual singularities; Imperial Algebraic Geometry seminar (Imperial College London, August 2014) and Derived Categories, Algebra, and Representation Theory Symposium seminar (Uni. of Warwick, October 2014) (notes)
Hilbert functions of orbifold del Pezzo surfaces; Algebraic Geometry seminar (Imperial College London, July 2014)
G-Hilb for trihedral groups; COW Introductory School for Algebraic Geometry (Uni. of Warwick, September 2013) and Nagoya-Warwick Workshop on the Geometry of Orbifolds, McKay Correspondence & Representation Theory (Uni. of Warwick, February 2014) (slides)
Expository Talks
Rational Ehrhart theory and algebraic geometry; Ehrhart Theory seminar (WUSTL, November 2021)
Symplectic embedding problems; WMS talk (Uni. of Warwick, June 2021) (notes)
Orbifolds, representations, and lattice points; Geometry & Number Theory seminar (UNLV, May 2019) (notes)
On the canonical strip hypothesis for orbifolds; Commutative Algebra & Algebraic Geometry seminar (UC Berkeley, November 2018) (notes)
Moduli of K3 surfaces; SAGS (UC Berkeley, November 2018) (notes)
Compactifications via tropical geometry; Tropical Geometry seminar (UC Berkeley, November 2018) (notes)
Tutte golden identities and the Temperly-Lieb algebra; GRASP (UC Berkeley, October 2018) (notes)
The geometry of quivers; Topology seminar (George Washington University, May 2018)
A tour of toric GIT; SAGS (UC Berkeley, April 2018) (notes)
A review of toric geometry; SAGS (UC Berkeley, February 2018) (notes)
Categorical Lie algebra actions; SAGS (UC Berkeley, October 2017) (notes)
A surprisingly combinatorial Hodge theory primer; TACOS seminar (UC Berkeley, February 2017) (notes)
Canonical curves; CASS (UC Berkeley, November 2016) (notes)
The geometry of continued fractions; Women in Math and SAGS (UC Berkeley, November 2016 and January 2017) (WIM notes, SAGS notes)
Studio G-Hilb; SAGS (UC Berkeley, September 2016) (notes)
The toric ansatz; SAGS (UC Berkeley, March 2016) (notes)
Groups, actions, and Chow groups; Intersection Theory seminar (UC Berkeley, March 2016) (notes)
Incarnations of the MMP; SAGS (UC Berkeley, February 2016) (notes)
The geometry of cluster algebras I + II; SAGS (UC Berkeley, October 2015) (notes)
Some highlights of homology; Math 215A guest lecture (UC Berkeley, October 2015)
A hodgepodge of Hodge structures; Shimura Varieties seminar (UC Berkeley, September 2015) (notes)
Monomial ideals; Commutative Algebra & Algebraic Geometry seminar (UC Berkeley, September 2015) (notes, handout)
An algebraic combinatorics primer; Imperial Undergraduate Colloquium (Imperial College London, June 2015) (notes)
Toric varieties and stacks; WMS talk (Uni. of Warwick, January 2015) and Tomorrow's Mathematicians Today (Uni. of York, February 2015)
The Serre-Swan theorem; WMS talk (Uni. of Warwick, January 2015) (notes)
Mirror symmetry through toric geometry; WIMP Autumn Meeting (Uni. of Warwick, November 2014) (notes)
The ubiquity of Dynkin diagrams; WMS talk (Uni. of Warwick, June 2014), Sussex Postgraduate Conference (Uni. of Sussex, July 2014), Imperial Undergraduate Colloquium (Imperial College London, October 2014) (notes), MUSA Math Mondays (UC Berkeley, March 2017) (notes)
Hyperbolic angel problem; WMS Discussion Group jointly led with Alex Best (Uni. of Warwick, February 2014)
Moduli problems; WMS talk (Uni. of Warwick, January 2014) and Tomorrow's Mathematicians Today (Uni. of Surrey, February 2014)
Category theory: basics; WMS talk given with Alex Best (Uni. of Warwick, November 2013)
General Audience Talks
What do you have grace to do?; WashU Apologetics Club (November 2022)
Letting math into idea formation; Waypoint (Popdog, August 2020) (slides, video)
Enlarging your universe; Faith & Reasons (UC Berkeley, November 2016 & October 2017) (notes)
A mathematician is a storyteller; (AIMS, February 2017) (notes)
Here are some posters I've presented at conferences:
Walls for G-Hilb via Reid's recipe; WAGS (Uni. of Utah, 2019) (poster)
G-Hilb for trihedral groups; Noncommutative crepant resolutions, Ulrich modules, and generalisations of the McKay correspondence (RIMS, June 2016) (poster)
Hilbert series of orbifold del Pezzo surfaces; BrAG (Uni. of Edinburgh, April 2016) (poster)
Equivariant geometry and the McKay correspondence in low dimensions; URSS showcase (Uni. of Warwick, October 2013)
I was/am an organiser of the following conferences and seminars:
Algebraic Geometry Seminar: I was an organiser of the WUSTL algebraic geometry seminar from Fall 2020-Spring 2023.
SAGS: I organised the Student Algebraic Geometry Seminar at UC Berkeley from Fall 2016-Fall 2017.
WIMP: I am the founder and ex-organiser of an undergraduate/masters/early PhD level conference series held jointly between the University of Warwick and IMPerial College, London. The first local organiser for Imperial was Edwin Kutas. We have now both been succeeded as WIMP lives on! The premise of WIMP is that it will cultivate a research conference-esque environment encouraging dissemination of both original and well-studied ideas and, above all, appreciation of compelling mathematics at the higher undergraduate and early postgraduate levels.
WMS: I revived the tradition of weekly talks by graduate students and faculty for undergraduates at the University of Warwick, and organised the talks for 2013-2014 academic year.