2021 | | | |
Talk | Heat Kernel Methods in Index Theory (Video Recording) | 12 March, 2021 | BIRS 21w5184 - Stochastics and Geometry (Online) |
Talk | Holonomy of H-type foliations | 16 February, 2021 | Microlocal and Global Analysis, Interactions with Geometry, University of Potsdam (Potsdam, DE) |
Talk | On de Sitter Space: an Investigation of the Relativity of Inertia and the Cosmological Constant | 5 February, 2021 | Math and Physics Seminar, University of Connecticut |
Talk | On Holonomy: An invitation to Riemannian Geometry | 29 January, 2021 | SIGMA Seminar, University of Connecticut |
2020 | | | |
Dissertation | Totally-Geodesic Foliations and sub-Riemannian Geometry | 16 December, 2020 | Thesis and Defense |
Talk | Heat Kernel Methods in Index Theory | 20 November, 2020 | 19th Annual Northeast Probability Seminar, CUNY (hosted on Zoom) |
Talk | Sub-Laplacian Comparison Theorems on H-Type Foliations (Video Recording) | 9 September 2020 | SubRiemannian Geometry and Interactions (SRGI), Unversité Sorbonne (Paris, FR) |
Talk | Comparison Theorems in H-Type Foliations (Visualization of comparison functions) | 18 February 2020 | Analysis and PDE Seminar, Universitetet i Bergen (Bergen, NO) |
Talk | Heat Kernel Methods in Index Theory | 13 February 2020 | Young Researchers between Geometry and Stochastic Analysis, Universitetet i Bergen (Bergen, NO) |
Paper | Stability and asymptotic analysis of the Föllmer-Schweizer decomposition on a finite probability space Arxiv: 2002.03286 | Submitted February 2020 | REU Financial Mathematics, summer 2019; with Sarah Boese, Tracy Cui, Samuel Johnston, and Oleksii Mostovyi |
2019 | | | |
Talk | Morse Theory; an Invitation to Differential Geometry | 9 November 2019 | Mathematics Continued Conference, University of Connecticut |
Talk | H-Type Foliations; an Invitation to sub-Riemannian geometry | 4 November 2019 | Analysis Seminar, Temple University (Philadelphia, PA) |
Talk | Confoliations: An Interpolation of Classical Topological Structures | 25 October 2019 | Probability and Statistics Seminar, Lehigh University (Bethlehem, PA) |
Talk | Holonomy of Riemannian Manifolds and Berger's Classification | 18 October 2019 | Analysis Learning Seminar, University of Connecticut |
Talk | Connections on Manifolds: An Introduction to Riemannian Geometry | 12 October 2019 | SIGMA Seminar, University of Connecticut |
Talk | Comparison Theorems on H-Type Foliations | 9 October 2019 | Workshop on Analysis and PDE, Leibniz Universität Hannover (Hannover, DE) |
Paper | Comparison theorems on H-type sub-Riemannian manifolds; Arxiv: 1909.03532 | Submitted September 2019 | With Fabrice Baudoin, Erlend Grong, Luca Rizzi |
Talk | An Introduction to Index Theory | 25 July 2019 | SIGMA Seminar, University of Connecticut |
Talk | The Horizontal Einstein Property for H-type sub-Riemannian Manifolds | 14 April 2019 | AMS Eastern Spring Sectional, Special Session on Sub-Riemannian and CR Geometric Analysis, University of Connecticut (Hartford Campus) |
Talk | The Horizontal Einstein Property for H-type sub-Riemannian Manifolds | 30 March 2019 | Geometric and Harmonic Analysis, University of Connecticut |
Poster | H-type foliations | 4 March 2019 | Microlocal and Global Analysis, Interactions with Geometry, University of Potsdam (Potsdam, DE) |
Talk | The Gauss-Bonnet Theorem: An Introduction to Index Theory | 1 February 2019 | SIGMA Seminar, University of Connecticut |
2018 | | | |
Paper | H-type foliations; Arxiv: 1812.02563 | Submitted December 2018 | With Fabrice Baudoin, Erlend Grong, Luca Rizzi |
Talk | The Horizontal Einstein Property for H-type sub-Riemannian Foliations | 16 October 2018 | Journées sous-Riemanniennes, Institut Fourier (Grenoble, FR) |
Talk | The Horizontal Einstein Property for H-type sub-Riemannian Manifolds | 9 October 2018 | Workshop on Analysis and PDE, Leibniz Universität Hannover (Hannover, DE) |
Talk | An Introduction to Morse Theory | 27 July 2018 | SIGMA Seminar , University of Connecticut |
Talk | Sasakian and Kähler Manifolds 2 | 20 April 2018 | Complex Geometry Seminar, University of Connecticut |
Talk | Sasakian and Kähler Manifolds 1 | 23 March 2018 | Complex Geometry Seminar, University of Connecticut |
2017 | | | |
Talk | Witten’s Proof of the Morse Inequalities | 1 December 2017 | Qualifying Examination, University of Connecticut |
Paper | Witten’s Proof of the Morse Inequalities | 1 December 2017 | Master's Thesis |
Talk | A Brief Introduction to Morse Theory | 27 October 2017 | Analysis Learning Seminar, University of Connecticut |