About
I'm Reinis, a PhD candidate in pure mathematics at the University of St Andrews. I work within the Algebra & Combinatorics research group under the supervision of professor James D. Mitchell. My research is focused on computational semigroup theory.
My current research efforts involve:
- Investigating minimum degree transformation representations of semigroups via their congruence lattice.
- Applying methods from automata theory to aid the design of algorithms for solving the word problem in various classes of semigroups such as bands and inverse semigroups.
- Solving the word problem in particular instances of one-relation monoids in search of small presentations whose decidability is unknown with current methods.
See Publications, Software and Talks sections of this website for a more detailed overview of what I've been up to recently.
Contact
rc234@st-andrews.ac.uk | |
ORCiD | 0000-0001-7238-1576 |
Github | reiniscirpons |
arXiv | a/cirpons_r_1 |
Office | Room 224, Mathematical Institute |
Post Address |
Reinis Cirpons Mathematical Institute North Haugh St Andrews Fife, KY16 9SS Scotland |