Research

Talks, Papers, and Posters

 TitleDateDetail
2021
TalkHeat Kernel Methods in Index Theory (Video Recording)12 March, 2021BIRS 21w5184 - Stochastics and Geometry (Online)
TalkHolonomy of H-type foliations16 February, 2021Microlocal and Global Analysis, Interactions with Geometry, University of Potsdam (Potsdam, DE)
TalkOn de Sitter Space: an Investigation of the Relativity of Inertia and the Cosmological Constant5 February, 2021Math and Physics Seminar, University of Connecticut
TalkOn Holonomy: An invitation to Riemannian Geometry29 January, 2021SIGMA Seminar, University of Connecticut
2020
DissertationTotally-Geodesic Foliations and sub-Riemannian Geometry16 December, 2020Thesis and Defense
TalkHeat Kernel Methods in Index Theory20 November, 202019th Annual Northeast Probability Seminar, CUNY (hosted on Zoom)
Talk Sub-Laplacian Comparison Theorems on H-Type Foliations (Video Recording)9 September 2020SubRiemannian Geometry and Interactions (SRGI), Unversité Sorbonne (Paris, FR)
Talk Comparison Theorems in H-Type Foliations (Visualization of comparison functions)18 February 2020Analysis and PDE Seminar, Universitetet i Bergen (Bergen, NO)
TalkHeat Kernel Methods in Index Theory13 February 2020Young Researchers between Geometry and Stochastic Analysis, Universitetet i Bergen (Bergen, NO)
PaperStability and asymptotic analysis of the Föllmer-Schweizer decomposition on a finite probability space Arxiv: 2002.03286Submitted February 2020REU Financial Mathematics, summer 2019; with Sarah Boese, Tracy Cui, Samuel Johnston, and Oleksii Mostovyi
2019
TalkMorse Theory; an Invitation to Differential Geometry9 November 2019Mathematics Continued Conference, University of Connecticut
TalkH-Type Foliations; an Invitation to sub-Riemannian geometry4 November 2019Analysis Seminar, Temple University (Philadelphia, PA)
TalkConfoliations: An Interpolation of Classical Topological Structures25 October 2019Probability and Statistics Seminar, Lehigh University (Bethlehem, PA)
TalkHolonomy of Riemannian Manifolds and Berger's Classification18 October 2019Analysis Learning Seminar, University of Connecticut
TalkConnections on Manifolds: An Introduction to Riemannian Geometry12 October 2019SIGMA Seminar, University of Connecticut
TalkComparison Theorems on H-Type Foliations9 October 2019Workshop on Analysis and PDE, Leibniz Universität Hannover (Hannover, DE)
PaperComparison theorems on H-type sub-Riemannian manifolds; Arxiv: 1909.03532Submitted September 2019With Fabrice Baudoin, Erlend Grong, Luca Rizzi
TalkAn Introduction to Index Theory25 July 2019SIGMA Seminar, University of Connecticut
TalkThe Horizontal Einstein Property for H-type sub-Riemannian Manifolds14 April 2019AMS Eastern Spring Sectional, Special Session on Sub-Riemannian and CR Geometric Analysis, University of Connecticut (Hartford Campus)
TalkThe Horizontal Einstein Property for H-type sub-Riemannian Manifolds30 March 2019Geometric and Harmonic Analysis, University of Connecticut
PosterH-type foliations4 March 2019Microlocal and Global Analysis, Interactions with Geometry, University of Potsdam (Potsdam, DE)
TalkThe Gauss-Bonnet Theorem: An Introduction to Index Theory1 February 2019SIGMA Seminar, University of Connecticut
2018
PaperH-type foliations; Arxiv: 1812.02563Submitted December 2018With Fabrice Baudoin, Erlend Grong, Luca Rizzi
TalkThe Horizontal Einstein Property for H-type sub-Riemannian Foliations16 October 2018Journées sous-Riemanniennes, Institut Fourier (Grenoble, FR)
TalkThe Horizontal Einstein Property for H-type sub-Riemannian Manifolds9 October 2018Workshop on Analysis and PDE, Leibniz Universität Hannover (Hannover, DE)
TalkAn Introduction to Morse Theory27 July 2018SIGMA Seminar , University of Connecticut
TalkSasakian and Kähler Manifolds 220 April 2018Complex Geometry Seminar, University of Connecticut
TalkSasakian and Kähler Manifolds 123 March 2018Complex Geometry Seminar, University of Connecticut
2017
TalkWitten’s Proof of the Morse Inequalities1 December 2017Qualifying Examination, University of Connecticut
PaperWitten’s Proof of the Morse Inequalities1 December 2017Master's Thesis
TalkA Brief Introduction to Morse Theory27 October 2017Analysis Learning Seminar, University of Connecticut

Attended Conferences

Conference Organizing

  • BIRS 21w5184 – Stochastics and Geometry (Online) – Informal Session for Early Career Participants 11-12 March 2021

Other Research