Scott Balchin

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I am now a Postdoc at the University of Sheffield.  Find my new page here.

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Publications

Accepted

Submitted

Technical Reports

Research & Interests

  • My PhD topic is mainly focussed on looking at the geometry of derived stacks. Of particular interest to me is using Conne's cyclic category to extend the current framework to one with an S1-homotopy action.
  • I am also interested in the classifying stacks of algebraic groups, particularly in regards to trace formulas and representation theory.
  • Along with Etienne Pillin, I have been developing the theory of topological data analysis to the situation where the data may not be a point cloud. Our main interest is when the data is the form of a directed graph.
  • Finally, I am developing a GUI program to perform calculations involving elliptic curves over finite fields, which when completed will be available for download here.

Grout

Grout is a program that I have developed in collaboration with Dan Rust to compute invariants of 1-dimensional tiling spaces. It is a C++ program which has a graphical user interface created using the Qt library.

The program is available to download at the following links, depending on your operating system:

  • Windows
  • Mac (Current LaTeX compatibility issue with El Capitan, should be fixed in the future)

Also included in the folder is the documentation. (Also available on its own from here)

Discussion of the algorithms that have been used can be found in the following article.

Known Issues

  • We are aware that the Anderson-Putnam complex Grout builds is not correct, and that in some cases this can affect computations. We intend to fix this on the next release of Grout.  In particular if there should be an arrow from a vertex to itself it will only display an arrowhead and not a loop.
  • The algorithm implemented for eigenvalues only return approximate values and should be independently checked if you require them for computations, we will be updating the algorithm to a better one another release.

Teaching

Spring Semester 2015 Teaching assistant for:

  • Elements of Number Theory
  • Year 12 FMSP outreach program
  • Year 13 FMSP STEP support course

Autumn Semester 2015 Teaching assistant for:

  • Calculus and Analysis I
  • Linear Algebra I
  • Probability
  • Year 12 FMSP outreach program
  • Year 13 FMSP STEP support course

Spring Semester 2016 Teaching assistant for:

  • Calculus and Analysis II
  • Algebra
  • Elements of Number Theory
  • Year 12 FMSP outreach program
  • Year 13 FMSP STEP support course

Autumn Semester 2016 Teaching assistant for:

  • Calculus and Analysis I
  • Linear Algebra I
  • Probability

Spring Semester 2017 Teaching assistant for:

  • Linear Algebra II

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Contact details

Department of Mathematics
University of Leicester
University Road
Leicester LE1 7RH
United Kingdom

Tel.: +44 (0)116 229 7407

Campus Based Courses

Undergraduate: mathsug@le.ac.uk
Postgraduate Taught: mathspg@le.ac.uk

Postgraduate Research: pgrmaths@le.ac.uk

Distance Learning Course  

Actuarial Science:

DL Study

Student complaints procedure

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