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Daniele Mastrostefano

I 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 and Probabilistic Number Theory.

Publications:

Current Research:

I am studying lower bounds for the variance of multiplicative functions in arithmetic progressions (main PhD project). I am trying to improve the current upper and lower bounds for the moments of the gcd of n and u(n), with u(n) being a Lucas sequence. I am trying to extend my previous work on short intervals with a given number of primes.

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:
  • 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 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.