I am a member of the ANU ALLY Network |
I am a Postdoctoral Fellow at the Australian National University's Mathematical Sciences Institute. Before coming here, I was a Research Associate at the Department of Mathematics, Imperial College London.
I have received my PhD in October 2015 from the University of Cambridge, where my advisor was Dr Jacob Rasmussen. In the spring of 2016, I have visited the Max Planck Institute for Mathematics in Bonn, Germany. I am broadly interested in geometry and topology. My research focuses on knot- and link homology theories which also have deep relationships to representation theory and mathematical physics. ## Contact Information:The Australian National University, Mathematical Sciences Institute, John Dedman Building, Canberra, 2601, AustraliaEmail: p.wedrich(at)gmail(dot)com |

- Khovanov homology and categorification of skein modules. Joint with Hoel Queffelec. arXiv:1806.03416 [math.QA].
- Extremal weight projectors II. Joint with Hoel Queffelec. arXiv:1803.09883 [math.RT].
- Rational links and DT invariants of quivers. Joint with Marko Stošić. arXiv:1711.03333 [math.QA]. Submitted.
- Functoriality of colored link homologies. Joint with Michael Ehrig and Daniel Tubbenhauer. arXiv:1703.06691[math.GT]. To appear in
*Proceedings of the London Mathematical Society*. - Extremal weight projectors. Joint with Hoel Queffelec. arXiv:1701.02316 [math.RT]. To appear in
*Mathematical Research Letters*. - Exponential growth of colored HOMFLY-PT homology arXiv:1602.02769 [math.GT]. Submitted.
- Super q-Howe duality and web categories. Joint with Daniel Tubbenhauer and Pedro Vaz.
*Algebraic & Geometric Topology*17-6 (2017), 3703--3749. arXiv:1504.05069 [math.QA]. Journal website - Deformations of colored sl(N) link homologies via foams. Joint with David E. V. Rose.
*Geometry & Topology*20-6 (2016), 3431--3517. arXiv:1501.02567 [math.GT]. Journal website. - q-holonomic formulas for colored HOMFLY polynomials of 2-bridge links,
arXiv:1410.3769 [math.GT]. To appear in
*Journal of Pure and Applied Algebra*. There is also a corresponding Mathematica notebook. - Categorified sl(N) invariants of colored rational tangles.
*Algebraic & Geometric Topology*16-1 (2016), 427--482. arXiv:1404.2736 [math.GT]. Journal website.

- Conference "Categorification and Higher Representation Theory", Institute Mittag Leffler, 9th - 13th July 2018.
- Conference: "Interactions of low-dimensional topology and “higher” representation theory", Universität Zürich, 17th - 21st September 2018
- Workshop: "Categorified Hecke algebras, link homology, and Hilbert schemes", American Institute of Mathematics, San Jose, 1st - 5th October 2018
- Program: "Quantum Knot Invariants and Supersymmetric Gauge Theories", Kavli Institute for Theoretical Physics, 18th November - 9th December 2018
- I am organising a
**conference on "Classical and quantum three-manifold topology"**at Monash University, Melbourne, 14th - 21st December 2018. - I am organising a
**workshop on "Categorification in quantum topology and beyond"**at the Erwin Schrödinger Institut, Vienna, 7th - 18th January 2019.

- Seminar talk, The Australian National University, 18th May 2018.
- Seminar talk and research visit, Monash University, 7th - 9th May 2018.
- Seminar talk, University of Melbourne, 7th May 2018.
- Conference "TQFT and categorification", IESC, Corsica, 15th - 20th April 2018.
- Workshop "Categorification in mathematical physics", SCGP, Stony Brook, 9th - 13th April 2018.
- Seminar talk, University of Southern California, 19th March 2018.
- Workshop "Modular Forms and Quantum Knot Invariants", Banff International Research Station, 11th - 16th March 2018.
- Conference "Quantum knot homology and supersymmetric gauge theories", Aspen Center for Physics, 4th - 10th March 2018.
- Conference: "Future directions in representation theory", University of Sydney, 4th - 8th December 2017.
- Junior Trimester Programme: "Symplectic Geometry and Representation Theory", Hausdorff Research Institute for Mathematics, Bonn, 20th November - 1st December 2017.
- Seminar talk, The Australian National University, 14th November 2017.
- Seminar talk, Algebra Seminar, Sydney University, 27th October 2017.
- Seminar talk, The Australian National University, 20th October 2017.
- Seminar talk and research visit, Centre for Quantum Geometry of Moduli Spaces, Aarhus University, 28th August - 1st September 2017.
- Conference on "Representation Theory
and Combinatorics of Torus Links", University of Massachusetts, Amherst, 8th July 2017.
- INI workshop: Quantum topology and categorified representation theory, Isaac Newton Institute, Cambridge, 26th - 30th June 2017.
- Seminar talk and research visit, Instituto Superior Técnico 22nd - 24th May 2017.
- Seminar talk, Universität Wien, 2nd May 2017.
- Symposium in Mathematical Physics, Universität Zürich, 24th - 25th April 2017.

- INI workshop: Physics and knot homologies, Isaac Newton Institute, Cambridge, 10th - 13th April 2017.

- Seminar talk, Symplectic cut, London, 22nd March 2017.

- Seminar talk, Geometry Tea, Cambridge, 17th March 2017.

- Seminar talk, Symplectic cut, London, 15th February 2017.

- INI 3-manifold workshop, Isaac Newton Institute, Cambridge, 30th January - 3rd February 2017.

- INI winter school, Isaac Newton Institute, Cambridge, 16th - 20th January 2017.

- Conference: Quantum invariants and low-dimensional topology, MATRIX, Melbourne, Australia, 14th - 17th December 2016, Slides.

- Seminar talk, Université de Montpellier, 1st December 2016.

- Seminar talk, Université catholique de Louvain, 28th November 2016.

- London Taught Course Center Intensive Course
*Introduction to Khovanov homology*, 9th - 10th November 2016.

- ESI Simons Lecture Series
*Knot homologies and higher representation theory*, 17th - 21st October 2016.

- Workshop on Knots and Links in Biological and Soft Matter Systems, ICTP, 26th - 30th September 2016.

- Workshop on Homological Methods in Algebra and Geometry, African Institute for Mathematical Sciences, Ghana, August 2016.

- WARTHOG, University of Oregon, 25th - 29th July 2016.

- Knots in Hellas, Olympic Academy, Greece, 17th - 23rd July 2016, Slides.

- ECSTATIC 2, Imperial College London, 14th - 16th June 2016.

- Seminar talk, Universität Wien, 30th June 2016.

- Workshop: Categorification, Universität Bonn, Germany, 16th - 20th May 2016.

- Seminar talk, Oberseminar Darstellungstheorie, Universität Bonn, Germany, 15th April 2016.

- Seminar talk, MPI Oberseminar, Max-Planck-Institut für Mathematik Bonn, Germany, 14th April 2016.

- SwissMAP Conference, Engelberg, Switzerland, 24th - 30th January 2016.

- Series of talks on Khovanov homology, TAKTIC Seminar, Imperial College London, November - December 2015.

- Seminar talk and research visit, Physics and Geometry Seminar, Caltech, 15th November - 25th November 2015.

- Colloquium, George Washington University, Washington DC, 13th November 2015.

- Seminar talk, Columbia University, New York, 12th November 2015.

- AMS International Meeting, Porto, 10th June - 13th June 2015.

- Physics and mathematics of knot homologies, SCGP, Stony Brook, 1st June - 3rd June 2015. Video, Slides.

- Categorification in Algebra, Geometry and Physics (A conference in honor of the 60th Birthday of Christian Blanchet), IESC Corsica, 4th May - 8th May 2015.

- Seminar talk and research visit, Université catholique de Louvain, 22nd April - 25th April 2015.

- Seminar talk and research visit, Universität Zürich 17th March - 20th March 2015.

- Winter Braids V, Université de Pau, 16th February - 19th February 2015.

- Seminar talk, Durham University, 29th January 2015
- Seminar talk, Differential Geometry and Topology Seminar, University of Cambridge, 28th January 2015
- Seminar talk and research visit, Centre for Quantum Geometry of Moduli Spaces, Aarhus University, 12th January - 17th January 2015.

- Seminar talk, Institut de Mathématiques de Jussieu-Paris Rive Gauche (IMJ-PRG), 4th December 2014.

- Seminar talk, Université de Genève, 27th November 2014.

- Algebraic Lie theory and representation theory, LMS and Clay institute research school, University of Glasgow, 25th August - 29th August 2014.

- Seminar talk and research visit, Centre for Quantum Geometry of Moduli Spaces, Aarhus University, 8th July - 12th July 2014.

- Seminar talk, Erwin Schrödinger Institut, 30th June 2014.

- Quantum Curves and Quantum Knot Invariants, Banff International Research Station, 15th June - 20th June 2014.

- Categorification and geometric representation theory , Centre de recherches mathématiques, Université de Montréal, 9th June - 13th June 2014.

- Young Topology Meeting, Imperial College London, 6th June 2014.

- Topology in Low Dimensions, LMS Short Course, Durham University, 26th August - 30th August 2013.

- Physics and Mathematics of Link Homology, Séminaire de Mathématiques Supérieures, Centre de recherches mathématiques, Université de Montréal, 24th June - 5th July 2013.

Last update: 12th June 2018