I studied mathematics and computer engineering in Southern California. When I graduated I worked as an engineer at Western Digital for a few years while taking graduate courses in mathematics in the afternoons. I was then accepted to the Berlin Mathematical School with funding for two years and studied algebraic topology under Holger Reich. I’m currently doing research in applied topology in New York under Justin Curry.
PhD in Mathematics, 2021 (expected)
University at Albany, SUNY
MSc in Mathematics, 2018
Freie Universität Berlin
BSc in Mathematics, 2013
California State University Long Beach
BSc in Computer Engineering, 2013
California State University Long Beach
…and coursework
Coursework : Algebraic Geometry, (Co)Sheaf Theory, Schubert Calculus, Differential Geometry, Reflection Groups, Multiparameter Persistence, Lie Groups, Lie Algebras, Commutative Algebra.
My duties include
Coursework : Analysis and Geometry on Manifolds, Classical Geometries, Commutative Algebra, Algebraic Geometry (1. Varieties, 2. Schemes), Topology (1. General, 2. (Co)Homology, 3. Homotopy Theory, 4. Simplicial Homotopy Theory, 5. Stable Homotopy Theory), Discrete Mathematics.
Qualifying Exam: I passed my oral qualifying exam (with Reich/Vogt/Labbé) on Homotopy Theory, Spectral Sequences and Combinatorics on January 25, 2018 with a 1.66 (German grading scale).
Thesis : My thesis was on spectral sequences arising from covers of spaces, such as the Mayer-Vietoris spectral sequence for singular homology, and an associated homotopy colimit spectral sequence.
Seminars
My duties involved
Mathematics : Mathematical Analysis (I, II), Abstract Algebra (I, II), Number Theory, Linear Algebra and Advanced Linear Algebra, Numerical Analysis, Ordinary Differential Equations, Functional Analysis (I, II(), Real Analysis (I, II), Topology (I, II), Homological Algebra, History of Mathematics, Probability and Statistics.
Computer Engineering : Computer Logic Design (I, II), Object Oriented Programming and Data Structures, Java, Embedded C, C++, Principles of Computer Engineering (I, II), Software Engineering, Microprocessors and Controllers (I, II, III), Computer Architecture, Integrated Circuit Design, System on a Chip Design and Applications, Senior Project (I, II)
…and Seminars
Student-run seminar on Riemannian Geometry for the Fall 2018 semester.
Dérivateurs à Barcelone September 1-4, 2015 in Barcelona, Spain (Workshop)
Homotopy Theory Summer June 18 - 29, 2018 in Berlin, Germany (Summer School)
AMS Fall Eastern Sectional September 29-30, 2018 in Newark, Delaware (Conference)
Upstate New York Topology Seminar November 10-11, 2018 in Albany, New York (Seminar)
ANYSRGMC 2019 March 23, 2019 in Syracuse, New York (Conference)
TDA Workshop May 2-5, 2019 in London, Ontario (Workshop)
Geometric Data Analysis May 20-23, 2019 in Chicago, Illinois (Conference)
Young Topologists Meeting 2019 July 22-26, 2019 in Lausanne, Switzerland (Conference)
HoTT Summer School August 7-10, 2019 in Pittsburgh, Pennsylvania (Summer School)
Homotopy Type Theory 2019 August 12-17, 2019 in Pittsburgh, Pennsylvania (Conference)