The awards ceremony for the winners of the Maths Challenge-2022-23 of the School of Mathematics and Physics has taken place on 30 March 2023 at the University of Lincoln. The ceremony was held at the beginning of the 6th Annual Robert Grosseteste Lecture in Astrophysics by Prof Don Kurtz.…]]>

The awards ceremony for the winners of the Maths Challenge-2022-23 of the School of Mathematics and Physics has taken place on 30 March 2023 at the University of Lincoln. The ceremony was held at the beginning of the 6th Annual Robert Grosseteste Lecture in Astrophysics by Prof Don Kurtz. The audience gave big rounds of applause to the winners, who received their trophies and prizes in Amazon vouchers from the Chair of Competition Committee Prof Evgeny Khukhro. The winners were also congratulated by Head of School of Mathematics and Physics Prof Andrei Zvelindovsky and the invited speaker Prof Don Kurtz.

The 1st place winner **Julia Volovich **(Hills Road Sixth Form College…

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This Wednesday 10th of May, 2023, Elena Tielker (Bielefeld University) has given a digital talk entitled Polytopes and Permutations at the Charlotte Centre for Algebra. Abstract: It is well-known that the numerator of the Ehrhart series, the so-called h-polynomial, of a lattice polytope has nonnegative coefficients. Only…]]>

Charlotte Scott Centre for Algebra

This Wednesday 10th of May, 2023, **Elena Tielker (Bielefeld University)** has given a digital talk entitled *Polytopes and Permutations* at the Charlotte Centre for Algebra.

**Abstract: **It is well-known that the numerator of the Ehrhart series, the so-called h-polynomial, of a lattice polytope has nonnegative coefficients. Only in a few cases (e.g., for simplices) we are able to interpret the coefficients in the context of another counting problem. We present two further families of polytopes whose h-polynomials can be interpreted in terms of permutation statistics. In this context we give new definitions of the major index and descent statistic on signed multiset permutations. In this talk we give a brief introduction to Ehrhart theory and permutation statistics (and their generalisations).

On Wednesday the 26th of April 2023, Jonas Deré (KU Leuven KULAK) digitally payed a visit to the Charlotte Centre for Algebra and talked about his work on Rational forms in Lie algebras associated to graphs?in the joint research seminar of Lincoln University and Lund University. Title:…]]>

Charlotte Scott Centre for Algebra

On Wednesday the 26th of April 2023, **Jonas Deré** (KU Leuven KULAK) digitally payed a visit to the Charlotte Centre for Algebra and talked about his work on *Rational forms in Lie algebras associated to graphs*in the joint research seminar of Lincoln University and Lund University.

**Title:** Rational forms in Lie algebras associated to graphs

**Abstract:** By the classic work of Mal’cev, studying finitely generated torsion-free nilpotent groups up to commensurability is equivalent to studying finite dimensional rational nilpotent Lie algebras. Given a field and a graph, one can construct a 2-step nilpotent Lie algebra over the field, where the Lie bracket between vertices is fully described in terms of the edges. This interesting class of Lie algebras intermediates between abelian and free 2-step nilpotent Lie algebras. For example, both the Heisenberg algebra and the direct sum of two Heisenberg algebras lies in this class. It is well-known that…

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Date: Wednesday 26th of April 2023, 13:30 (GMT).Location: Isaac Newton Building (INB3305) and Online MS Teams meeting ‘Partial discharge from electrical treeing’ by Dr Nikola Chalashkanov, School of Engineering, University of Lincoln, Lincoln, UK. Abstract: The analysis of partial discharge (PD) data obtained from electrical treeing experiments showed…]]>

Centre for Computational Physics

Date: Wednesday 26th of April 2023, 13:30 (GMT).

Location: Isaac Newton Building (INB3305) and Online MS Teams meeting

*by Dr Nikola Chalashkanov, School of Engineering, University of Lincoln, Lincoln, UK.*

**Abstract:**

The analysis of partial discharge (PD) data obtained from electrical treeing experiments showed some interesting correlations between the physical parameters related to the discharge activity and the statistical parameters characterising the distributions of the PD amplitudes. The properties of the dielectric material also have been found to affect the discharge activity especially a long-range charge transport, often referred to in the literature as quasi-DC conduction, found in epoxy resin-based insulation above its glass transition temperature. In this talk, Dr Chalashkanov will explore the opportunities to further improve our understanding of the PD process and the mathematical solutions required to achieve this goal.

Dr Nikola M. Chalashkanov was born in Sofia, Bulgaria in…

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International conference “Finite and Residually Finite Groups” celebrating Pavel Shumyatsky’s 60th birthday will take place in Bilbao (Spain), on 20–23 June, 2023. Prof. Shumyatsky is a member of the Advisory Board of the Lincoln School of Mathematics and Physics and maintains close research links with Lincoln. Invited Speakers: Cristina…]]>

Charlotte Scott Centre for Algebra

International conference “**Finite and Residually Finite Groups**” celebrating **Pavel Shumyatsky’s 60th birthday** will take place in Bilbao (Spain), on 20–23 June, 2023. Prof. Shumyatsky is a member of the Advisory Board of the Lincoln School of Mathematics and Physics and maintains close research links with Lincoln.

* Invited Speakers: *Cristina Acciarri (University of Modena and University of Brasilia), Rostislav Grigorchuk (Texas A&M University), Evgeny Khukhro (University of Lincoln), Benjamin Klopsch (Heinrich-Heine-Universität), Mahmut Kuzucuoğlu (Middle East Technical University), Andrea Lucchini (University of Padova), Mercede Maj (University of Salerno), Natalia Maslova (Ural Federal University), Marta Morigi (University of Bologna), Gunnar Traustason (University of Bath), Pavel Zalesski (University of Brasília), Efim Zelmanov (University of California San Diego), and Pavel Shumyatsky — special anniversary speaker (University of Brasília).

The format for the conference will also include a limited number of contributed talks and a poster session. Further details, including how to register and…

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On Wednesday the 12th of April 2023, Mireille Soergel (Université de Bourgogne/ ETH Zürich) digitally visited Charlotte Centre for Algebra and gave a talk entitled?Dyer groups?at the research seminar of Lincoln University. Abstract: One can observe that Coxeter groups and right-angled Artin groups share the samesolution to…]]>

Charlotte Scott Centre for Algebra

On Wednesday the 12th of April 2023, **Mireille Soergel** (Université de Bourgogne/ ETH Zürich) digitally visited Charlotte Centre for Algebra and gave a talk entitled*Dyer groups*at the research seminar of Lincoln University.

**Abstract:**

One can observe that Coxeter groups and right-angled Artin groups share the same

solution to the word problem. On the other hand, in his study of reflection subgroups of Coxeter groups Dyer introduces a family of groups, which we call Dyer groups, which contains both, Coxeter groups and right-angled Artin groups. After recalling the solution to the word problem for Coxeter groups and right-angled Artin groups, we will introduce Dyer groups, and mention some of their properties.

Congratulations to Dr Paula Macedo Lins de Araujo! She has successfully secured a grant of the London Mathematical Society under the “Celebrating New Appointments” scheme, which will support a mini-conference “Counting problems in groups”, preliminarily planned to be held in Lincoln on 13 September 2023. Further information…]]>

Charlotte Scott Centre for Algebra

Congratulations to **Dr Paula Macedo Lins de Araujo**! She has successfully secured a grant of the London Mathematical Society under the “Celebrating New Appointments” scheme, which will support a mini-conference “*Counting problems in groups”, *preliminarily planned to be held in Lincoln on 13 September 2023. Further information about the conference will follow.

On Wednesday 29th March 2023, the Charlotte Centre for Algebra had the pleasure of virtually welcoming Cristina Acciarri (University of Modena and Reggio Emilia & University of Brasilia) for a talk entitled?On profinite groups with restricted centralizers of π-elements?at the research seminar of Lincoln University. Abstract:?A group…]]>

Charlotte Scott Centre for Algebra

On Wednesday 29th March 2023, the Charlotte Centre for Algebra had the pleasure of virtually welcoming Cristina Acciarri (University of Modena and Reggio Emilia & University of Brasilia) for a talk entitled*On profinite groups with restricted centralizers of π-elements*at the research seminar of Lincoln University.

**Abstract:**A group G is said to have restricted centralizers if for each g in G the centralizer C_{G}(g) either is finite or has finite index in G. This notion was introduced by A. Shalev, who proved that a profinite group in which all centralizers are restricted is virtually abelian, that is, has an abelian subgroup of finite index. In this talk we will consider a much more general situation, where the restrictedness condition is imposed only on *π*-elements of a profinite group G, foran arbitrary set of primes *π*.

The paper Thompson-like groups, Reidemeister numbers, and fixed points by Paula M Lins de Araujo (University of Lincoln), Altair S. de Oliveira-Tosti (Northern Paraná State University) and Yuri Santos Rego (Otto von Guericke University Magdeburg) has been accepted for publication in Geometriae Dedicata. Abstract: We investigate fixed-point…]]>

Charlotte Scott Centre for Algebra

The paper *Thompson-like groups, Reidemeister numbers, and fixed points* by Paula M Lins de Araujo (University of Lincoln), Altair S. de Oliveira-Tosti (Northern Paraná State University) and Yuri Santos Rego (Otto von Guericke University Magdeburg) has been accepted for publication in Geometriae Dedicata.

**Abstract:** We investigate fixed-point properties of automorphisms of groups similar to R. Thompson’s groupF. Revisiting work of Gonçalves-Kochloukova, we deduce a cohomological criterion to detect infinite fixed-point sets in the abelianization, implying the so-called propertyR∞. Using the BNSΣ-invariant and drawing from works of Gonçalves-Sankaran-Strebel and Zaremsky, we show that our tool applies to manyF-like groups, including Stein’sF_{2,3}, Cleary’sF_{τ’}, the Lodha-Moore groups, and the braided version ofF.

Bart Vorselaars published the paper “Efficient Langevin and Monte Carlo sampling algorithms: The case of field-theoretic simulations” in the Journal of Chemical Physics (with impact factor 4.3) and is available here (and here for a preprint). Efficient Langevin and Monte Carlo sampling algorithms: The case of field-theoretic simulations…]]>

Centre for Computational Physics

Bart Vorselaars published the paper “Efficient Langevin and Monte Carlo sampling algorithms: The case of field-theoretic simulations” in the Journal of Chemical Physics (with impact factor 4.3) and is available here (and here for a preprint).

**Abstract: **We introduce Langevin sampling algorithms to field-theoretic simulations (FTSs) of polymers that, for the same accuracy, are ∼10× more efficient than a previously used Brownian dynamics algorithm that used predictor corrector for such simulations, over 10× more efficient than the smart Monte Carlo (SMC) algorithm, and typically over 1000× more efficient than a simple Monte Carlo (MC) algorithm. These algorithms are known as the…

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