Overview

Julio Andrade is currently an associate professor at the University of Exeter. He obtained his PhD in 2012 at the University of Bristol under the supervision of Prof. Jon Keating and Dr. Nina Snaith.

Before arriving at Exeter he was a Postdoctoral Institute Fellow at the Institute for Computational and Experimental Research in Mathematics (ICERM) - Brown University (USA), a William Hodge Fellow at the Institut des Hautes Études Scientifiques (IHÉS - France), and a Senior Researcher in Number Theory at the University of Oxford (UK). 

His research is focused on number theory, random matrix theory and mathematical physics. He is also interested in questions in analysis motivated by number theory. His interest in mathematics is wide-ranging, and his research focuses on the theory of zeta functions and function fields with applications to number theory, combinatorics, and mathematical physics.

Research Interests 

• Analytic Number Theory
• Number Theory in Function Fields
• Mean Values of L-functions
• Random Matrix Theory
• Mathematical Physics

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Publications

_{Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.}

| 2022 | 2021 | 2019 | 2018 | 2016 | 2015 | 2014 | 2013 | 2012 |

2022

• Bueno De Andrade JC, Best C. (2022) Random matrix theory and moments of moments of $L$-functions, Random Matrices: Theory and Applications, volume 12, no. 3, pages 2350002-2350002, article no. 2350002, DOI:10.1142/S2010326323500028. [PDF]

2021

• Bueno De Andrade JC, Jung H. (2021) Mean values of derivatives of L-functions in function fields: IV, Journal of the Korean Mathematical Society, volume 58, no. 6, pages 1529-1547, DOI:10.4134/JKMS.j210243.
• Andrade J, Jung H, Shamesaldeen A. (2021) The integral moments and ratios of quadratic Dirichlet L-functions over monic irreducible polynomials in Fq[T], The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu, DOI:10.1007/s11139-021-00422-x.

2019

• Andrade JC, Yiasemides M. (2019) The fourth power mean of Dirichlet $L$-functions in $\mathbb{F}_q [T]$. [PDF]

2018

• Andrade J. (2018) Mean values of derivatives of L-functions in function fields: II, Journal of Number Theory, volume 183, pages 24-39, DOI:10.1016/j.jnt.2017.08.038. [PDF]
• Bueno De Andrade J, Keating JP, Gonek SM. (2018) Truncated Product Representations for L-Functions in the Hyperelliptic Ensemble, Mathematika, volume 64, no. 1, pages 137-158, DOI:10.1112/S0025579317000407.
• Bueno De Andrade J. (2018) Mean Values of Derivatives of L-functions in Function Fields: III, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, no. 4, pages 905-913, DOI:10.1017/prm.2018.53.

2016

• Bueno De Andrade J, Bae S, Jung H. (2016) Average Values of L-series for Real Characters in Function Fields, Research in the Mathematical Sciences, volume 3, pages 38-85, DOI:10.1186/s40687-016-0087-4.
• Bueno De Andrade J, SURAJIT RAJAGOPAL. (2016) Mean values of derivatives of L-functions in function fields: I, Journal of Mathematical Analysis and Applications, volume 443, pages 526-541, DOI:10.1016/j.jmaa.2016.05.019.
• Andrade JC, Bary-Soroker L, Rudnick Z. (2016) Correction to ‘Shifted convolution and the Titchmarsh divisor problem over 𝔽 _q [ t ]', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 374, no. 2060, pages 20150360-20150360, DOI:10.1098/rsta.2015.0360. [PDF]
• Andrade J. (2016) Rudnick and Soundararajan's theorem for function fields, Finite Fields and Their Applications, volume 37, pages 311-327, DOI:10.1016/j.ffa.2015.10.007. [PDF]

2015

• Bueno De Andrade J. (2015) A simple proof of the mean value of |K2(O)| in function fields, Comptes Rendus Mathematique (Academie des Sciences), DOI:10.1016/j.crma.2015.04.018.
• Andrade JC, Bary-Soroker L, Rudnick Z. (2015) Shifted convolution and the Titchmarsh divisor problem over 𝔽_q[t], Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 373, no. 2040, pages 20140308-20140308, DOI:10.1098/rsta.2014.0308. [PDF]

2014

• Bueno De Andrade J. (2014) SPECIAL SETS OF PRIMES IN FUNCTION FIELDS, Integers.
• Bueno De Andrade J. (2014) Newman’s conjecture in various settings, Journal of Number Theory, DOI:10.1016/j.jnt.2014.04.021.
• Andrade JC, Miller SJ, Pratt K, Trinh M-T. (2014) Zeros of Dirichlet $L$-functions over function fields, Communications in Number Theory and Physics, volume 8, no. 3, pages 511-539, DOI:10.4310/cntp.2014.v8.n3.a3. [PDF]
• Andrade JC, Keating JP. (2014) Conjectures for the integral moments and ratios of L-functions over function fields, Journal of Number Theory, volume 142, pages 102-148, DOI:10.1016/j.jnt.2014.02.019. [PDF]

2013

• Andrade J. (2013) Introdução aos métodos de crivos em teoria dos números.
• ANDRADE JC. (2013) HILBERT–PÓLYA CONJECTURE, ZETA FUNCTIONS AND BOSONIC QUANTUM FIELD THEORIES, International Journal of Modern Physics A, volume 28, no. 17, pages 1350072-1350072, DOI:10.1142/s0217751x13500723. [PDF]
• Andrade JC, Keating JP. (2013) Mean value theorems for L-functions over prime polynomials for the rational function field, Acta Arithmetica, volume 161, no. 4, pages 371-385, DOI:10.4064/aa161-4-4. [PDF]

2012

• Bueno De Andrade J. (2012) The mean value of L(½, χ) in the hyperelliptic ensemble, Journal of Number Theory.
• ANDRADE J. (2012) A NOTE ON THE MEAN VALUE OF L-FUNCTIONS IN FUNCTION FIELDS, International Journal of Number Theory, volume 08, no. 07, pages 1725-1740, DOI:10.1142/s1793042112500996. [PDF]

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