On Wednesday the 14th of February, Stacey Law (Cambridge) visited Lincoln and gave a talk “On the p’-subgraph of the Young graph“. Abstract: Let be a prime number and any natural number. Let be an ordinary irreducible character of the symmetric group whose degree is coprime to . We…]]>

On Wednesday the 14th of February, Stacey Law (Cambridge) visited Lincoln and gave a talk “*On the p’-subgraph of the Young graph*“.

*Abstract*: Let $latex p$ be a prime number and $latex n$ any natural number. Let $latex chi$ be an ordinary irreducible character of the symmetric group $latex {frak S}_n$ whose degree is coprime to $latex p$. We study the number of $latex p’$-irreducible constituents of the restriction and induction to $latex {frak S}_{n-1}$ and $latex {frak S}_{n+1}$, respectively. This generalizes the work of Ayyer, Prasad, and Spallone for the prime $latex p=2$. This is joint work with E. Giannelli and S. Martin.

]]>Our school’s External Advisory Board member, Professor Natasha Maurits from the Netherlands, visited us on 19–20 February 2018. Natasha delivered a guest lecture in “Industrial Mathematics” module for our 2nd year Maths students on applications of mathematics and statistics in medicine and health care.

]]>From Tuesday February 13 to Thursday February 15 (2018) Fabien visited Durham university to discuss a research project with Halim Kusumaatmaja from Durham university UK and Victor Ambrus from West University of Timisoara Romania. The project aims at combining the numerical and theoretical skills of V. Ambrus to simulate hydrodynamics flows and the expertise of […]

Congratulations to Dr Simon Smith on his paper being published in Duke Mathematical Journal, one of the most prestigious and highest-ranking journals in mathematics! In this paper, “A Product for Permutation Groups and Topological Groups“, Simon introduces a new product for permutation groups, called the box product. It takes as…]]>

Congratulations to Dr **Simon Smith** on his paper being published in D*uke Mathematical Journal*, one of the most prestigious and highest-ranking journals in mathematics!

In this paper, “*A Product for Permutation Groups and **Topological Groups*“, Simon introduces a new product for permutation groups, called the box product. It takes as input two permutation groups, M and N, and produces an infinite group which carries many of the permutational properties of M. Surprisingly, the box product preserves primitivity under the same conditions as the wreath product acting in its product action.

When M and N are thought of as topological groups, the product provides a general way to build exotic examples of groups in the class S of non-discrete, topologically simple, totally disconnected, locally compact, compactly generated topological groups. Simon uses the box product to obtain the first construction of uncountably many pairwise non-isomorphic groups in S.

View original post 34 more words

On Friday the 9th of February 2018, Dr Rachel Newton (University of Reading) visited Lincoln and gave a talk “Counting failures of a local-global principle”. Abstract: The search for rational solutions to polynomial equations is ongoing for more than 4000 years. Modern approaches try to piece together ‘local’ information to…]]>

On Friday the 9th of February 2018, **Dr Rachel Newton (University of Reading)** visited Lincoln and gave a talk “*Counting failures of a local-global principle*”.

*Abstract*: The search for rational solutions to polynomial equations is ongoing for more than 4000 years. Modern approaches try to piece together ‘local’ information to decide whether a polynomial equation has a ‘global’ (i.e. rational) solution. I will describe this approach and its limitations, with the aim of quantifying how often the local-global method fails within families of polynomial equations arising from the norm map between fields, as seen in Galois theory. This is joint work with Tim Browning.”

On Wednesday the 7th of February, Callum Burrows gave the first of this semester’s LARA seminars on “The origins of amenability”. The plan for this semester is to have a reading group on amenable groups, based on the lecture notes by Alejandra Garrido. The next LARA seminar will take…]]>

On Wednesday the 7th of February, Callum Burrows gave the first of this semester’s LARA seminars on “The origins of amenability”. The plan for this semester is to have a reading group on amenable groups, based on the lecture notes by Alejandra Garrido. The next LARA seminar will take place on the 28th of February and will be delivered by Valentina Iusa on amenability and properties and examples of amenable groups.

? On Friday the 9th of February 2018, Rachel Newton (University of Reading) will be visiting Lincoln and giving a seminar at 2.30pm in INB 3305. All are welcome to attend. Her talk will be on “Counting failures of a local-glocal principle” and her talk abstract is as follows:…]]>

On Friday the 9th of February 2018, Rachel Newton (University of Reading) will be visiting Lincoln and giving a seminar at 2.30pm in INB 3305. All are welcome to attend. Her talk will be on “Counting failures of a local-glocal principle” and her talk abstract is as follows: “The search for rational solutions to polynomial equations is ongoing for more than 4000 years. Modern approaches try to piece together ‘local’ information to decide whether a polynomial equation has a ‘global’ (i.e. rational) solution. I will describe this approach and its limitations, with the aim of quantifying how often the local-global method fails within families of polynomial equations arising from the norm map between fields, as seen in Galois theory. This is joint work with Tim Browning.”

On Wednesday the 31st of January 2018 Dr Lukasz Grabowski (Lancaster University) visited Lincoln and gave a talk “Quotients of groups by torsion elements”. Abstract: Our recent result with Gabor Elek deals with the variant of the “Halmos problem” for the rank metric. A particular case is as follows: if A…]]>

On Wednesday the 31st of January 2018 **Dr Lukasz Grabowski** (Lancaster University) visited Lincoln and gave a talk “*Quotients of groups by torsion elements*”.

*Abstract*: Our recent result with Gabor Elek deals with the variant of the “Halmos problem” for the rank metric. A particular case is as follows: if A and B are either unitary or self-adjoint matrices that almost commute with respect to the rank metric, then one can find commuting matrices C and D which are close in the rank metric to the matrices A and B respectively.

This week’s seminar will be jointly given by Dmitry Nerukh, Aston University and Gennady Chuev, visiting from the Institute of Theoretical and Experimental Biophysics, Russian Academy of Sciences, Pushchino, Russia. It will be in INB 3305 at 1pm on Wednesday Jan 31st. Dmitry will talk about ‘ Hybrid Molecular Dynamics –…]]>

This week’s seminar will be jointly given by Dmitry Nerukh, Aston University and Gennady Chuev, visiting from the Institute of Theoretical and Experimental Biophysics, Russian Academy of Sciences, Pushchino, Russia.

It will be in INB 3305 at 1pm on Wednesday Jan 31st.

Dmitry will talk about ‘ Hybrid Molecular Dynamics – Hydrodynamics Modelling of Liquid Solutions: Whole Virus at Atomistic Resolution’ while Gennady will give an introduction to ‘Integral Equations Theory for Molecular Liquids: From toy models to self-assembled nanosolutes. Abstracts below.

**Abstract Dmitry:**

Our novel methodology for modelling liquid molecular systems at very different space and time scales simultaneously with consistent transition between the scales is described. Regions of atomistic representation of the liquid of arbitrary shape and time evolution coexist with fluctuating hydrodynamics environment which in turn is coupled to macroscopic hydrodynamics at larger scales. The approach is implemented in a popular Molecular Dynamics package GROMACS. As an…

View original post 247 more words

On 24th of January 2018 Fiona Bissett had her graduation ceremony in Lincoln Cathedral. Fiona is our second graduate in the history of the school, and the first Master by Research. Her Master of Science by Research thesis “Computational study of the self-assembly of hypoxanthine in the gas-phase and on…]]>

On 24th of January 2018 Fiona Bissett had her graduation ceremony in Lincoln Cathedral. Fiona is our second graduate in the history of the school, and the first Master by Research. Her Master of Science by Research thesis *“Computational study of the self-assembly of hypoxanthine in the gas-phase and on the Au(111) surface” *was* *written under the supervision of Dr Manuela Mura. Fiona’s research was supported by the University of Lincoln’s Back to Science Fellowship.