Research
Link to all of my papers
Curriculum Vita
UIUC Number Theory Seminar
Some slides of talks
Prime gaps, probabilistic models, the interval sieve,
HardyLittlewood conjectures and Siegel zeros , Number Theory Web Seminar, September 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, Fall 2017. Partial notes
Other Math links
Weather and aviation links
News and art
