Michael R. Klug
Office: 354 Ryerson
Email: michael.r.klug at gmail dot com
I am currently an L.E. Dickson Instructor and NSF Postdoctoral Fellow at the
University of Chicago Math Department.
Prior to moving to Chicago, I was a Ph.D. student in the Berkeley Math Department
advised by Robion Kirby and Peter Teichner and a frequent visitor at the
Max-Planck-Institut für Mathematik in Bonn, Germany.
I am currently an organizer of the No Boundaries Seminar
along with Benson Farb, Tobias Shin, and Andreas Stravrou.
Research
- A group-theoretic framework for low-dimensional topology
with Sarah Blackwell, Rob Kirby, Vince Longo, and Benjamin Ruppik.
- Concordance of spheres in 4-manifolds with an immersed dual sphere
with Maggie Miller.
- Some properties of Pin-structures on compact surfaces
with Luuk Stehouwer, Topology and its Applications, Volume 339, Part B, (2023), 108678.
- Building groups from restricted diagrams of groups
with Nic Brody.
- Counting homomorphisms from surface groups to finite groups
- A relative version of Rochlin's theorem
- Kernels of splitting homomorphisms
- Comparison communication protocols
- Deep and shallow slice knots in 4-manifolds
with Benjamin Ruppik. Proc. Amer. Math. Soc. Ser. B 8 (2021), 204-218.
- Unknotting numbers of 2-spheres in the 4-sphere
with Jason Joseph, Benjamin Ruppik, and Hannah Schwartz. Journal of Topology, Volume 14, Issue 4 (2021), 1321-1350.
- Concordance of surfaces in 4-manifolds and the Freedman-Quinn invariant
with Maggie Miller, Journal of Topology, Volume 14, Issue 2 (2021), 560-586.
- Representing smooth 4-manifolds as loops in the pants complex
with Gabriel Islambouli, Math. Res. Lett., Volume 28, Number 6, 1703–1738, 2021.
- Functoriality of group trisections, PNAS October 23, 2018 115 (43) 10875-10879.
- Calculating the homology and intersection form of a 4-manifold from a trisection diagram
with Peter Feller, Trent Schirmer, and Drew Zemke. PNAS October 23, 2018 115 (43) 10869-10874.
- Numerical calculation of three-point branched covers of the projective line
with Michael Musty, Sam Schiavone, and John Voight, LMS Journal of Computation and Mathematics Volume 17, Issue 1 pp. 379-430.
Old course from Berkeley
Spring 2019 - Math 191 - Knot Theory
From a data science past life
Understanding the group dynamics and success of teams
with James Bagrow. R. Soc. Open Sci 3: 160007 (2016).
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Miscelleneous