# Experience

…and coursework

#### University at Albany, SUNY

August 2018 – Present Albany, New York

Coursework : Algebraic Geometry, (Co)Sheaf Theory, Schubert Calculus, Differential Geometry, Reflection Groups, Multiparameter Persistence, Lie Groups, Lie Algebras, Commutative Algebra.

My duties include

• Tutoring students in Precalculus, Statistics and Calculus
• Doing research involving Morse theory, Reeb graphs, Topological Stratified Spaces and $\infty$-categories.
• Involved in student run reading seminars.

#### Berlin Mathematical School

August 2015 – January 2018 Berlin, Germany

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

• Homological Algebra : I gave a talk on balancing Ext and Tor, and another talk on calculating the homology of the loop space of the $k$-sphere using the Leray-Serre spectral sequence.
• $\infty$-Categories : I gave a talk on $\infty$-(co)limits and gave illustrative examples and motivation.
• Algebraic K-Theory : I gave a talk on Waldhausen’s $s_{\bullet} \mathscr C$-construction.

#### Western Digital

May 2013 – July 2015 Irvine, California

My duties involved

• Writing applications and web development using programming paradigms such as agile and test-driven development.
• Writing a multithreaded graphical analyzer in javascript that would take in (large; 1 GB+) C++ header files, parse relevant tables from them and use that data to produce timing diagrams using complex algorithms related to the physics and specifications of the drives.
• Writing a distributed queing system to generate drive formats; an engineer would add a format to be generated via a web panel, this would then be sent to a primary system which would distribute the compilation process across many different computers, taking into consideration priorities set by the engineers, as well as those predefined by managers.

#### California State University Long Beach

July 2009 – May 2013 Long Beach, California

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)

# Recent Posts

### Delay-Tolerant Networks : Literature Survey

Collection of Resources and Summaries of Existing DTN Proposals

### Classical Nerve Theorem

Some Notes on the Classical Nerve Theorem

# Projects

…and Seminars

#### Riemannian Geometry Seminar

Student-run seminar on Riemannian Geometry for the Fall 2018 semester.

# Recent & Upcoming Talks

### Generalized Persistent Nerve Theorem

A short talk on The Generalized Persistent Nerve Theorem.

### Lawvere's Fixed Point Theorem

A short talk on Lawvere’s Diagonal Arguments and Cartesian Closed Categories.

### Spectral Sequences and Topological Covers

A leisurely introduction to spectral sequences ending with the Mayer-Vietoris spectral sequence.

# Travel

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)