# Quantum Computing Theory in Practice

The third Quantum Computing Theory in Practice (QCTIP) workshop will be held at the University of Bristol, UK. Continuing the previous series of Heilbronn quantum algorithms meetings (2010-2019) hosted in Bristol and Cambridge, QCTIP fosters discussion between theorists and practitioners of quantum computing.

The workshop includes keynote speakers, invited and contributed talks from academia and industry, a poster session and a panel discussion.

#### Contact information

Visit the event website for further information.

# 15th Algorithmic Number Theory Symposium

The ANTS meetings, held biannually since 1994, are the premier international forum for the presentation of new research in computational number theory and its applications. They are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.

The 15th edition of ANTS will be held at the University of Bristol, from 8 to 12 August, 2022.

For further information and to book your place, please visit the event website here.

# The charm of integrability – Honoring the scientific contributions of Alexander Its on the occasion of his 70th birthday

The goal of this conference is to bring together experts and young researchers, mathematicians and physicists,scientists with different backgrounds and different takes on integrable systems theory, to discuss the latest achievements in this dynamic field and to point at future research directions within the discipline. At the same time the meeting will serve to honor Alexander Its, a world renowned expert in the field, for his many groundbreaking contributions to the theory of integrable systems over the past 40 years, on the occasion of his 70th birthday.

### Invited speakers:

Spectrum of random matrices

Jinho Baik (University of Michigan)
Estelle Basor (American Institute of Mathematics)
Marco Bertola (Concordia University)
Pavel Bleher (IUPUI School of Science)
Anne Boutet de Monvel (Université de Paris)
Alexander Bobenko (Technische Universität Berlin)
Mattia Cafasso (Université Angers)
Tom Claeys (UCLouvain)
Peter Clarkson (University of Kent)
Percy Deift (New York University)
Tamara Grava (University of Bristol)
Jon Keating (University of Oxford)
Karol Kozlowski (ENS De Lyon)
Igor Krasovsky (Imperial College London)
Arno Kuijlaars (KU Leuven)
Oleg Lisovyy (Université de Tours)
Marta Mazzocco (University of Birmingham)
Peter Miller (University of Michigan)
Beatrice Pelloni (Heriot Watt University)
Nicolai Reshetikhin (University of California, Berkeley)
Nina Snaith (University of Bristol)
Leon Takhtajan (Stony Brook University)
Pierre Van Moerbeke (UCLouvain)

### Registration

Registration will open in early 2022.

### Accommodation

For planning purposes the venue will be located within the main University precinct, postcode BS8 1TS. Information on accommodation options can be found by visiting the Visit Bristol website.

### Organising committee:

Thomas Bothner (University of Bristol)

Tamara Grava (University of Bristol; International School for Advanced Studies (SISSA/IAS)

Andrei Prokhorov (University of Michigan)

# BJB90 – Bryan Birch Celebratory Conference

### UPDATE: Due to the latest government announcements in relation to the rise of covid cases, this event has been postponed. A rescheduled date will be announced in due course.

A one day conference to celebrate the 90th birthday of Bryan Birch and his many lasting contributions to number theory.

Visit the event website for further information.

Biography

Bryan Birch was educated at Trinity College, Cambridge where as a doctoral student he proved Birch’s theorem, one of the results to come out of the Hardy–Littlewood circle method; it shows that odd-degree rational forms in a large enough set of variables must have zeroes.

He then worked with Peter Swinnerton-Dyer on computations relating to the Hasse–Weil L-functions of elliptic curves. They formulated their conjecture relating the rank of an elliptic curve to the order of a certain zero of an L-function; it has been an influence on the development of number theory since the mid 1960s. They later introduced modular symbols.

In later work he contributed to algebraic K-theory (Birch–Tate conjecture). He then formulated ideas on the role of Heegner points (he had been one of those reconsidering Kurt Heegner’s original work, on the class number one problem, which had not initially gained acceptance). Birch put together the context in which the Gross–Zagier theorem was proved. He was elected a Fellow of the Royal Society in 1972; was awarded the Senior Whitehead Prize in 1993 and the De Morgan Medal in 2007. In 2012 he became a fellow of the American Mathematical Society. In 2020 he was awarded the Royal Society’s Sylvester Medal for his work in driving the theory of elliptic curves through the Birch–Swinnerton-Dyer conjecture and the theory of Heegner points. The Birch–Swinnerton-Dyer conjecture is one of the Clay Mathematics Institute Millennium Problems.

Registration is now open.

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# PhD opportunities in mathematics

Join us for our annual PhD opportunities in mathematics event. This event is open to all undergraduate and masters students who are considering applying for a PhD in mathematics.

This event will be held in G.10, Fry Building.

### Programme

13:00 – 14:00 Graduate student panel

14:00 – 14:30 Industry speaker – Kathryn Leeming, British Geological Survey

14:30 – 15:00 Industry speaker – Laura

15:00 – 15:15 Break

15:45 – 16:30 Information from the Post Grad team

16:30 – 17:00 Informal discussions

### Register to attend

Please register for this event by completing the following form.

# Colloquium – Emmanuel Breuillard

14:00 – 15:00pm

Online, Zoom Webinar

We’re very excited to welcome Emmanuel Breuillard (University of Cambridge), as a Heilbronn Virtual Visiting Professor.

Title: Approximate groups

Abstract: Symmetry is one of the most fundamental concepts of science and mathematics. Group theory is the field of mathematics devoted to its study. In this lecture we will discuss various situations where symmetry is present only partially and where a notion approximate symmetry arises naturally. In group theory this leads to the notion of approximate group, which has been much studied in the last twenty years in connection with various fields including additive combinatorics, harmonic and fractal analysis, asymptotic finite group theory, geometric group theory, ergodic theory and even logic and model theory. The lecture will introduce this concept and present some recent developments.

Join the Heilbronn Event mailing list to keep up to date with our upcoming events.

An additional talk will be given by Emmanuel Breuillard as part of the Ergodic Theory and Dynamical Systems Seminars. For further information please the event website.

# Fractals

This is a meeting featuring online talks by PhD students working in fractals and related fields from Bristol, Budapest, Manchester, Oulu and St. Andrews. The main meeting website is https://people.maths.bris.ac.uk/~matmj/BBMOS.html.

# Distinguished Lecture Series: Amie Wilkinson

Online, Zoom Webinars

We’re pleased to announce that Amie Wilkinson’s (University of Chicago) postponed Distinguished Lecture series from May 2020 has now been rescheduled to May 2021. The colloquia details will be confirmed shortly. Visit the event website for further information.

The talks will be over three days:

10 May 2021, 16:00 – 17:00

12 May 2021, 16:00 – 17:00

14 May 2021, 16:00 – 17:00

Registration is now open.

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# Colloquium – Larry Guth

16:00 – 17:00pm

Online, Zoom Webinar

We’re very excited to welcome Larry Guth (Massachusetts Institute of Technology), as a Heilbronn Virtual Visiting Professor.

Title: Local smoothing for the wave equation

Abstract:  The local smoothing problem asks about how much solutions to the wave equation can focus. It was formulated by Chris Sogge in the early 90s. Hong Wang, Ruixiang Zhang, and I recently proved the conjecture in two dimensions.

Join the Heilbronn Event mailing list to keep up to date with our upcoming events.

# Colloquium – Kaisa Matomäki

16:00 – 17:00pm

Online, Zoom Webinar

We’re very excited to welcome Kaisa Matomäki (University of Turku, Finland), as a Heilbronn Virtual Visiting Professor. For further information and to register for the colloquium, please visit the event website.

Title: On primes and other interesting sequences in short intervals

Abstract: By the prime number theorem, the number of primes up to $x$ is known to be asymptotically $x/\log x$. This suggests that whenever $H \leq x$ is reasonably large, the interval $[x, x+H]$ contains about $H/\log x$ primes. I will discuss what is known and what is not known about primes and almost primes (i.e. numbers with only few prime factors) in short intervals.
I will also talk about the Riemann zeta function and the Liouville function (defined, for an integer $n$, to be $+1$ or $-1$ depending on whether $n$ has an even or odd number of prime factors), both of which are closely connected to the prime numbers.