I am currently finishing up my PhD studies at Oregon State University. My advisor is Professor Holly Swisher.

Contact Andres via five at smallinteger dot com (math email only please).

Research interests.

My interests are generally in number theory, including complex analysis, combinatorics, partitions, and generating functions. I am also very fond of computer science areas that overlap with number theory, such as integer factorization, integer dynamical systems, random number generation, hashing, compression, and infinite precision integer arithmetic. My programming interests encompass algorithm analysis in broad terms.

Math wise, lately I have been studying applications of the WZ algorithm to supercongruences, and in particular how to obtain suitable WZ pairs algorithmically.

On the computer science front, I have been implementing programming languages professionally since 2007. This includes work on JIT compilers, FFI interfaces, memory managers, interacting with operating system libraries, integer and floating point arithmetic, closures, exception handling, and so on.

Publications.

• Streamlined WZ method proofs of Van Hamme supercongruences. Ramanujan J 68, 87 (2025).
• Design Heuristics for Reliable and Flexible Virtual Machine Subsystems. IWST '17.
• Linked Weak Reference Arrays. IWST '15. Extended version published in Elsevier's Science of Computer Programming, 2020.
• Writing truly efficient Smalltalk. OOPSLA 2006 proceedings pp. 688-689.
• Lossless audio compression. XXVIII JAIIO Conference, 1999.

Notes.

• Errata for Carothers' Real Analysis (20220128).