Research Output per year

## Personal profile

### Fields of Science

- 111 Mathematics

##
International and National Collaboration
Publications and projects within past five years.

## Publications

## Integrability of Liouville theory: proof of the DOZZ formula

Kupiainen, A., Rhodes, R. & Vargas, V., Jan 2020, In : Annals of Mathematics. Second Series. 191, 1, p. 81-166 86 p.Research output: Contribution to journal › Article › Scientific › peer-review

## Stress-Energy in Liouville Conformal Field Theory

Kupiainen, A. & Oikarinen, J., Sep 2020, In : Journal of Statistical Physics. 180, 1-6, p. 1128-1166 39 p.Research output: Contribution to journal › Article › Scientific › peer-review

## Local Conformal Structure of Liouville Quantum Gravity

Kupiainen, A., Rhodes, R. & Vargas, V., Nov 2019, In : Communications in Mathematical Physics. 371, 3, p. 1005–1069 65 p.Research output: Contribution to journal › Article › Scientific › peer-review

## The DOZZ formula from the path integral

Kupiainen, A., Rhodes, R. & Vargas, V., 15 May 2018, In : Journal of High Energy Physics. 5, 23 p., 094.Research output: Contribution to journal › Article › Scientific › peer-review

## Renormalizability of Liouville quantum field theory at the Seiberg bound

David, F., Kupiainen, A., Rhodes, R. & Vargas, V., 2017, In : Electronic Journal of Probability. 22, 26 p., 93.Research output: Contribution to journal › Article › Scientific › peer-review

## Projects

## Atmospheric Mathematics

Kupiainen, A., Lassas, M., Vehkamäki, H., Vesala, T. & Muratore Ginanneschi, P.

01/12/2016 → 31/12/2020

Project: Research project

## The Finnish Centre of Excellence (CoE) in Analysis and Dynamics Research (2014-2019)

Muratore Ginanneschi, P. & Kupiainen, A.

01/01/2014 → 31/12/2019

Project: Research project

## Prizes

## Finnish Cultural Foundation Prize of Recognition

Kupiainen, Antti (Recipient), 2004

Prize: Prizes and awards

## Activities

## XLIV SUMMER SCHOOL ON MATHEMATICAL PHYSICS

Antti Kupiainen (Speaker: Keynote)

Activity: Participating in or organising an event types › Organisation and participation in conferences, workshops, courses, seminars

## New trends in geometry and mathematical physics

Antti Kupiainen (Speaker: Keynote)

Activity: Participating in or organising an event types › Organisation and participation in conferences, workshops, courses, seminars

## Paths between Probability, PDEs, and Physics: Conference 2019

Antti Kupiainen (Speaker: Keynote)

Activity: Participating in or organising an event types › Organisation and participation in conferences, workshops, courses, seminars

## Probabilistic Liouville Theory

Antti Kupiainen (Speaker)

Activity: Talk or presentation types › Invited talk

## Renormalization group and stochastic PDEs

Antti Kupiainen (Speaker)

Activity: Talk or presentation types › Invited talk