# Michael R. Klug

**Office:** 839 Evans

**Email:** mrklug at berkeley dot edu

I am currently an L.E. Dickson Instructor in 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.

### Teaching

Spring 2019 - Math 191 - Knot Theory
### Research

Some properties of Pin-structures on compact surfaces with Luuk Stehouwer.

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

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, (to appear in Math Reasearch Letters).

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.