The Serre Automorphism via Homotopy Actions and the Cobordism Hypothesis for Oriented Manifolds
with J. Hesse, to appear on Cahiers, arXiv: 1701.03895
Institut für Mathematik
Universität Zürich
alessandro.valentino
[at]
math.uzh.ch
Since October 2016, I am an Oberassistent at the Institut für Mathematik in Zürich.
Places where I have been before include
My research area is at the intersection of topology, higher category theory and mathematical physics. I am generally interested in Topological Quantum Field Theory in the categorical setting, which means I spend time with cobordism categories, oo-categories, module categories, etc. . Recently I have been thinking about homotopy actions of groups on higher categories, and duality involutions on bicategories. I am also interested in nonperturbative aspects of QFT in the framework of factorization algebras.
For more details, here you can read my research statement.
In May 2018 I received a Habilitation from the University of Zurich, you can check my thesis here.
Here is a brief selection of my recent works. A complete list can be found here.
with J. Hesse, to appear on Cahiers, arXiv: 1701.03895
with J. Hesse and C. Schweigert, T.A.C.(2017), Vol. 32, No. 18, 652
with D. Fiorenza, Comm. Math. Phys. (2015), no. 338, 1043
with J. Fuchs and C. Schweigert, Comm. Math. Phys. (2013), no 321, 543
I have always had a great interest for teaching and mentoring students. During the fall 2016-2017, I have been teaching a self designed master class with title "Differential Forms in Algebraic Topology",
based on the wonderful book with the same title.
During the fall 2017-2018 I have taught an undegraduate class with title "An Introduction to Category Theory and its Applications".
During the fall 2018-2019 I will give a seminar on Applied Topology: you can find its webpage here.
If you are interested, here you will find my teaching statement.