I am a Postdoctoral Research Associate in the School of Mathematics, Statistics and Actuarial Science at the University of Kent, working with Andy Hone.

My research interest focuses on cluster algebras and their connections to representation theory, geometry and combinatorics.

I came to Kent in 2018. Previously, I was a Research Associate in the Department of Mathematical Sciences at Durham University, working with Anna Felikson, and a Research Assistant in the Representation Theory Group at Bielefeld University, under the supervision of Henning Krause. I received my PhD in 2011 from the University of Bonn, under the supervision of Jan Schröer.

Further information can be found in my CV.

**Address:**

School of Mathematics, Statistics and Actuarial Science

University of Kent

Sibson Building

Parkwood Road

Canterbury, CT2 7FS

United Kingdom

**Telephone:** +44 (0) 1227 82 4874

**Email:** P.B.Lampe *at* kent.ac.uk

**Office:** Sibson 272

**Exchange graphs for mutation-finite non-integer quivers of rank 3**

Joint work with Anna Felikson. Preprint arXiv:1904.03928 (2019). [Link]**Cluster algebras and discrete integrability**

Joint work with Andy Hone and Thedoros Kouloukas. Preprint arXiv:1903.08335 (2019). [Link]**An expansion formula for type A and Kronecker quantum cluster algebras**

Joint work with İlke Çanakçı. Preprint arXiv:1807.07539 (2018). [Link]**Factoriality and class groups of cluster algebras**

Joint work with Ana Garcia Elsener and Daniel Smertnig. Preprint arXiv:1712.06512 (2017). [Link]**Variations on Baur--Marsh's determinant**

To appear in Journal of Combinatorial Theory, Series A. [Link]**Maximum antichains in posets of quiver representations**

Joint with Florian Gellert, Contributions to Algebra and Geometry**59**(2018), 1-20. [Link]**On the approximate periodicity of sequences attached to noncrystallographic root systems**

Experimental Mathematics**27**(2018), no. 3, 265-271. [Link]**Diophantine equations via cluster transformations**

Journal of Algebra**462**(2016), 320-337. [Link]**Quantisation Spaces of Cluster Algebras**

Joint with Florian Gellert, Glasgow Mathematical Journal**60**, no. 2 (2018), 273-284. complementary webpage, [Link**Acyclic cluster algebras from a ring theoretic point of view**.

To appear in Communications in Algebra. [Link]**Quantum cluster algebras of type A and the dual canonical basis**

Proceedings of the London Mathematical Society**108**(2014), no. 1, 1-43. [Link**A quantum cluster algebra of Kronecker type and the dual canonical basis**

International Mathematics Research Notices**2011**(2011), no. 13, 2970-3005. [Link]

**The divisor class group of a cluster algebra**

Oberwolfach Reports**8**(2014), 484-485. [Link]**Quantum cluster algebras and dual canonical bases**

Oberwolfach Reports**8**(2011), no. 10, 564-565. [Link]

- Florian Gellert, PhD 2017, Bielefeld: Sequential structures in cluster algebras and representation theory

- Lecture Linear Mathematics, Spring 2019
- Tutorial for Linear Algebra I (Krause), Winter 2016/17
- Seminar Algebraic Methods, Summer 2016
- Tutorial for Representation Theory of Algebras III (Krause), Winter 2015/16
- Tutorial for Representation Theory of Algebras II (Voßieck), Summer 2015
- Seminar Mathematical Physics (with Kieburg), Summer 2015
- Tutorial for Representation Theory of Algebras I (Krause), Winter 2014/15
- Seminar Algebra (with Krause), Summer 2014
- Tutorial for Linear Algebra II (Bauer), Summer 2014
- Lecture Cluster Algebras, Winter 2013/14, Lecture Notes
- Seminar Combinatorics and Group Theory, Summer 2013, Lecture Notes
- Lecture Group Theory, Winter 2012/13
- Seminar Introduction to Cluster Algebras (with Krause, Mahrt), Summer 2012
- Tutorial for Linear Algebra II (Krause), Summer 2012
- Tutorial for Linear Algebra I (Krause), Winter 2011/12
- Tutorial for Introduction to Representation Theory (Krause), Summer 2011
- Tutorial for Analysis III (Franke), Winter 2005/06
- Tutorial for Analysis II (Franke), Summer 2005