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Mathematics Institute

Daniele Mastrostefano

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

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

Office: B0.16.

Research Interests:

The distribution of prime numbers, Additive and Multiplicative Number Theory, the elementary approach to Analytic Number Theory, the distribution of arithmetical functions, Sieve Theory, Additive Combinatorics, Probabilistic Number Theory and Metric Number Theory.

Publications and preprints:

Current Research:

This is my main PhD project. I am also working on understanding large fluctuations of random multiplicative functions together with Adam Harper.

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 gave a talk on my paper about "random multiplicative functions" during the SSANT, held in Paris (02 July 2021). Here is the video: https://archive.org/details/talk-SSANT2021-Mastrostefano.
  • I gave a talk on ''Maximal random product sets'' during the Junior Number Theory seminar, virtually held in Oxford (3 May 2021).
  • I gave a talk on "The variance of generalized divisor functions and other sequences in arithmetic
    progressions" during the MOBIUS ANT web seminar, virtually held in Montreal (8 April 2021).
  • I gave a talk on my paper about "random multiplicative functions" during the Vibrant conference, virtually held in Brazil (18 March 2021). Here is the video: https://www.youtube.com/watch?v=ggvXbpP0VQg&ab_channel=AnalyticandProbabilisticNumberTheorySeminar.
  • I gave a talk on ''Maximal random product sets'' during the "NT online conference", virtually held in Turin (18 February 2021). Here is the video: https://www.numbertheoryonline.org/recordings/.
  • Contributed speaker at the "IML Number Theory seminar", virtually held in Stochkolm (8 February 2021).
  • I gave a talk about ''A new elementary proof of the Prime Number Theorem'' (University of Warwick, 11 March 2020).
  • 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.

Here is my Bachelor thesis in Italian: ''The rationality of the Zeta function of algebraic varieties''.

Here is my Master thesis in Italian: ''On recent results about short gaps between consecutive primes''.