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Posts
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Blog Post number 4
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This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
Blog Post number 3
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This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
Blog Post number 2
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This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
Blog Post number 1
Published:
This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
expositions
portfolio
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publications
Publications & Preprints
Published in , 1900
research
Research
My research centers on how prime numbers distribute among natural numbers and interesting applications of such information to various problems in analytic and probabilistic number theory. I am particularly interested in the distribution of primes in intervals and arithmetic progressions as well as in gaps between consecutive primes. Well-known unsolved problems in these directions include the Riemann Hypothesis and the Twin Prime Conjecture. To study primes, I use a combination of tools from complex analysis, harmonic analysis, sieve theory, probability theory and combinatorics, and this is where my area of research interacts with other areas in exciting ways.
talks
teaching
Teaching
, , 1900
Upcoming Courses
- UGA: Math 4400/6400 Number Theory (Fall 2026)
- UGA: Math 2250 Calculus 1 (2 sections, Spring 2027) </ul> </ul> </div>