## Contacts | |

Fakultät für Mathematik Universität Regensburg 93040 Regensburg Deutschland |
Zimmer: M 223 Email: `denis DOT nardin AT ur DOT de` |

I am a postdoc at the Universität Regensburg, in the working group of Prof. Marc Hoyois. My current position is supported by SFB 1085 "Higher Invariants".

My main mathematical interests are on equivariant and motivic homotopy theory and algebraic K-theory.

I completed my Ph.D. at the Massachusetts Institute of Technology under the supervision of Clark Barwick.

- The motive of the Hilbert scheme of infinite affine space

with Marc Hoyois, Joachim Jelisiejew and Maria Yakerson. - Real algebraic K-theory of stable ∞-categories.

with Baptiste Calmés, Emanuele Dotto, Yonatan Harpaz, Fabian Heberstreit, Kristian Moi, Thomas Nikolaus and Wolfgang Steimle.*In preparation* - A comment on the vanishing of rational motivic Borel-Moore homology

with Clark Barwick. - Parametrized higher category theory and higher algebra: A general introduction

with Clark Barwick, Emanuele Dotto, Saul Glasman and Jay Shah. - PHCTHA: Exposé I -- Elements of parametrized higher category theory

with Clark Barwick, Emanuele Dotto, Saul Glasman and Jay Shah. - PHCTHA: Exposé IV -- Stability with respect to an orbital ∞-category

A slightly reworked version of the first half of my thesis - PHCTHA: Exposé V -- Parametrized monoidal structures

with Jay Shah.*In preparation* - Stability and distributivity over an orbital ∞-category

My ph.D. thesis - Categorifying rationalization (ArXiv)

with Clark Barwick, Marc Hoyois, Saul Glasman and Jay Shah. Published in*Forum of Mathematics, Sigma*. Volume 7, 2019 , e42. - Dualizing cartesian and cocartesian fibrations (ArXiv)

with Clark Barwick and Saul Glasman. Published in*Theory and Applications of Categories*Vol. 33, 2018, No. 4, pp 67-94

- Levine's Chow's moving lemma

An exposition of Marc Levine's proof of Chow's moving lemma for higher Chow groups. - Crossing Browder's bridge

Forthcoming. An explanation in modern language of Browder's original proof of his theorem relating the Kervaire invariant of framed manifolds and the 2-line of the Adams spectral sequence. - The purity theorem in motivic homotopy theory

A short discussion of the proof of the purity theorem in motivic homotopy theory. - Fundamental quandle of knots and the Alexander module

A short essay defining the fundamental quandle and proving some of its main properties. - Superfici di Riemann, teorema di Riemann-Roch e applicazioni

In italian. My bachelor thesis, about Riemann-Roch theorem for Riemann surfaces. Contains an elementary proof that every plane Riemann surface is algebraic. - Essential dimension of finite group schemes

My master thesis about the basic theory of essential dimension for finite group schemes. Contains a small improvement on a result by Ledet.

- Globalübung zu Kommutative Algebra

Mo 16-18 Mathematik H41 - Übungen zu Algebraic Topology II

Mi 16-18 Westliche Naturwissenschaften, DE 1.127