I am currently a Phillip Griffiths Assistant Research Professor at Duke, under the supervision of Lillian Pierce. Before i was:
2022-2023: Postdoc at University of Basel; Mentor: Pierre Le Boudec;
2019-2022; Postdoc at ISTA; Mentor Tim Browning;
2014-2019: Phd student at ETHZ; Advisor: Emmanuel Kowalski.
My interests lie in Analytic Number theory. In particular I am interested:
diophantine geometry and arithmetic statistics;
applications of trace function and ℓ-adic cohomology in analytic number theory;
p-torsion for class group;
harmonic analysis.
E-mail: dante [dot] bonolis [at] duke [dot] edu
2-torsion in class groups of number fields (with P. Le Boudec). Available upon request.
Application of a polynomial sieve: beyond separation of variables (with L.B. Pierce). Algebra and Number Theory, 2024, Vol. 24, no.8, pp 1515-1556 (arXiv, Journal).
Density of rational points on some quadric bundle threefolds (with T.D. Browning, and Z. Huang). Math Annalen, 2024 ,Vol. 390, pp. 4123–4207 (arXiv, Journal).
Uniform bounds for rational points on hyperelliptic fibrations (with T.D. Browning). Annali della scuola superiore di Pisa: classe scienze, 2020, Vol. 24, pp. 173-204 (arXiv, Journal).
The distribution of the maximum of partial sums of Kloosterman sums and other trace functions (with P. Autissier, and Y. Lamzouri.). Compos. Math., 2021 ,Vol. 157 , pp. 1610-1651 (arXiv, Journal).
On the Size of the Maximum of Incomplete Kloosterman sums. Math. Proc. Cambridge Philos. Soc, 2021, Vol. 172, pp 563-590 (arXiv, Journal).
A Polynomial Sieve and Sums of Deligne Type. Int. Math. Res. Not. IMRN, 2021, no. 1, pp. 1096-1137 (arXiv, Journal).
Fall 2024: Lecturer for Multi variable calculus, Duke University.
Spring 2024: Lecturer for Matrices and vector spaces, Duke University.
Fall 2023: T.A. for Matrices and vector spaces, Duke University.
Spring 2023: T.A. for Analysis II, University of Basel.
Fall 2022: T.A. for Introduction to Analytic Number Theory, University of Basel.
Fall 2021: T.A. for Introduction to Analytic Number Theory, University of Basel, Level: undergraduate, language: English, number of students: 21.
Fall 2019: Lecturer for Analytic Number Theory, IST Austria
Spring 2019: T.A. for Algebraic Geometry, ETH Zürich.
Fall 2018: T.A. for Introduction to Exponential Sums over Finite Fields, Level: graduate, ETH Zürich.
Spring 2018: T.A. for Algebraic Geometry, ETH Zürich.
Spring 2017: T.A. for Commutative Algebra, ETH Zürich.
Spring 2016: T.A. for Introduction to the Circle Method, ETH Zürich.
Spring 2015: T.A. for Algebra II, ETH Zürich.