Research
Link to all of my papers
Curriculum Vita
UIUC Number Theory Seminar 202223
Some slides/videos of talks
Toward a theory of
prime detecting sieves, (Video) Seminar talk at IAS, Princeton, November 17, 2022.
The concentration of divisors. .
Talk at "Balu Fest", Chennai, India. March 13, 2021.
Divisors of integers, permutations
and polynomials. . Analytic and probabilistic number theory web seminar. December 3, 2020.
Prime gaps, probabilistic models, the interval sieve,
HardyLittlewood conjectures and Siegel zeros , Number Theory Web Seminar, September 3, 2020.
Divisibility of the central binomial coefficient.
Webinar in additive combinatorics, November 3, 2020.
CRM summer School,
Probability in Number Theory, , Montreal, May 2018.
Talk 1 ,
Talk 2 ,
Talk 3 . Subject:
Large gaps between primes and other sequences
Strongly diagonal behavior in Vinogradov's
mean value theorem , talk given at Goettingen (July, 2012) and Oberwolfach
(October, 2013).
Multiplicative structure of integers, shifted primes and
arithmetic functions , Erdos 100 Conference, Budapest, July 2013.
New explicit constructions of RIP matrices
and related problems , Lectures at Texas A&M University, Workshop
"Greedy Algorithms in Banach Spaces and Compressed Sensing", July 2022, 2011.
Distribution of integers with a divisor in
a given interval , Lecture at Univ. Montreal, March 14, 2006.
"Anatomy of Integers" workshop.
Illinois Number Theory Conferences

Course Materials
Lecture notes
Sieve methods
Anatomy of Integers and random
permutations, Spring 2022. Complete.
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Other Math links
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