Research
Link to all of my papers
Curriculum Vita
UIUC Number Theory Seminar
Some slides of talks
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.
Illinois Number Theory Conferences

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