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Daniele Mastrostefano

Pic from RNTAI am a first year PhD student under the supervision of Dr Adam Harper.

Email: Daniele "dot" Mastrostefano "at" warwick "dot" ac "dot'' uk.

Office: B0.15.

Research Interests:

The distribution of prime numbers (small, bounded and large gaps between primes), Additive Number Theory (especially, Goldbach's type problems), Multiplicative Number Theory, the elementary approach in Analytic Number Theory (with an emphasis on the pretentious approach developed by Granville and Soundararajan), the distribution of arithmetical functions, Sieve Theory, Additive Combinatorics, Probabilistic Number Theory and Metric Number Theory (mainly, Diophantine approximation and metric Poissonian property of sequences).

Publications:

Current Research:

I am studying lower bounds for the variance of sequences in arithmetic progressions (main PhD project). The sequences I have been studying so far are those of multiplicative functions (among which a particular class of examples are the divisor functions and their generalizations and the characteristic functions of smooth integers), additive functions and functions with an additive structure.

I am working on random product sets, trying to understand necessary conditions to guarantee maximal size for a product of random sets and constructing an efficient random model for the product set of the sums of two squares.

Teaching:

I have been TA for the modules:

I have been a supervisor for 2 groups of 5 each second year undergraduate students for the modules:

Activities:
  • I took part, giving also some talks, in the study group about "The Duffin&Schaeffer conjecture", held in the University of Warwick.
  • Contributed speaker at the WIMP conference, held in the University of Warwick.
  • Contributed speaker at the Warwick Y-RANT conference.
  • Invited speaker at the 4th Number Theory Meeting Torino.
  • I gave a talk on the occasion of the "Speaking with Style" conference, held in the University of Warwick.
  • I took part, giving also some talks, in the study group about "Low moments of random multiplicative functions", held in the University of Warwick.
  • I started the Mathematical blog A Sequence of IID Random Posts together with Peter Mühlbacher.
  • I gave a talk about ''Heuristics for the distribution of primes in short intervals'' (University of Warwick, 23 January 2019).
  • I take part in the activities of the Number Theory group at Warwick. During the terms there is a running Seminar as well as a Study group.
  • I attended several talks in the context of the Combinatorics Seminar, Probability Seminar and Colloquium.
  • I gave a talk on the occasion of The fifth mini symposium of the Roman Number Theory Association about my paper Positive proportion of short intervals containing a prescribed number of primes.
Conferences Attended and Scheduled:

Here is a link to a brief version of my CV, containing information on my previous educational background and awards received.