Paul Wedrich's website

in Ghana    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, Australia
Email: p.wedrich(at)gmail(dot)com
Follow me on ResearchGate

Publications and preprints:

  1. Rational links and DT invariants of quivers. Joint with Marko Stošić. arXiv:1711.03333 [math.QA]. Submitted.

  2. Functoriality of colored link homologies. Joint with Michael Ehrig and Daniel Tubbenhauer. arXiv:1703.06691[math.GT]. Submitted.

  3. Extremal weight projectors. Joint with Hoel Queffelec. arXiv:1701.02316 [math.RT]. Submitted.

  4. Exponential growth of colored HOMFLY-PT homology arXiv:1602.02769 [math.GT]. Submitted.

  5. 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

  6. 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.

  7. q-holonomic formulas for colored HOMFLY polynomials of 2-bridge links, arXiv:1410.3769 [math.GT]. Unpublished note. There is also a corresponding Mathematica notebook.

  8. Categorified sl(N) invariants of colored rational tangles. Algebraic & Geometric Topology 16-1 (2016), 427--482. arXiv:1404.2736 [math.GT]. Journal website.

Conferences, Workshops, Seminars, etc:

Upcoming:
  1. Conference: "Future directions in representation theory", University of Sydney, 4th - 8th December 2017.
  2. Conference "Quantum knot homology and supersymmetric gauge theories" , Aspen Center for Physics, 4th - 10th March 2018.
  3. Workshop "Modular Forms and Quantum Knot Invariants", Banff International Research Station, 11th - 16th March 2018.
  4. Conference "Categorification and Higher Representation Theory", Institute Mittag Leffler, 9th - 13th July 2018.
  5. Program: Quantum Knot Invariants and Supersymmetric Gauge Theories, Kavli Institute for Theoretical Physics, 18th November - 9th December 2018
  6. I am organising a workshop on "Categorification in quantum topology and beyond" at the Erwin Schrödinger Institut, Vienna, 7th - 18st January 2019.
Past:
  1. Junior Trimester Programme: "Symplectic Geometry and Representation Theory", Hausdorff Research Institute for Mathematics, Bonn, 20th November - 1st December 2017.
  2. Seminar talk, The Australian National University, 14th November 2017.
  3. Seminar talk, Algebra Seminar, Sydney University, 27th October 2017.
  4. Seminar talk, The Australian National University, 20th October 2017.
  5. Seminar talk and research visit, Centre for Quantum Geometry of Moduli Spaces, Aarhus University, 28th August - 1st September 2017.
  6. Conference on "Representation Theory and Combinatorics of Torus Links", University of Massachusetts, Amherst, 8th July 2017.
  7. INI workshop: Quantum topology and categorified representation theory, Isaac Newton Institute, Cambridge, 26th - 30th June 2017.
  8. Seminar talk and research visit, Instituto Superior Técnico 22nd - 24th May 2017.
  9. Seminar talk, Universität Wien, 2nd May 2017.
  10. Symposium in Mathematical Physics, Universität Zürich, 24th - 25th April 2017.
  11. INI workshop: Physics and knot homologies, Isaac Newton Institute, Cambridge, 10th - 13th April 2017.
  12. Seminar talk, Symplectic cut, London, 22nd March 2017.
  13. Seminar talk, Geometry Tea, Cambridge, 17th March 2017.
  14. Seminar talk, Symplectic cut, London, 15th February 2017.
  15. INI 3-manifold workshop, Isaac Newton Institute, Cambridge, 30th January - 3rd February 2017.
  16. INI winter school, Isaac Newton Institute, Cambridge, 16th - 20th January 2017.
  17. Conference: Quantum invariants and low-dimensional topology, MATRIX, Melbourne, Australia, 14th - 17th December 2016, Slides.
  18. Seminar talk, Université de Montpellier, 1st December 2016.
  19. Seminar talk, Université catholique de Louvain, 28th November 2016.
  20. London Taught Course Center Intensive Course Introduction to Khovanov homology, 9th - 10th November 2016.
  21. ESI Simons Lecture Series Knot homologies and higher representation theory, 17th - 21st October 2016.
  22. Workshop on Knots and Links in Biological and Soft Matter Systems, ICTP, 26th - 30th September 2016.
  23. Workshop on Homological Methods in Algebra and Geometry, African Institute for Mathematical Sciences, Ghana, August 2016.
  24. WARTHOG, University of Oregon, 25th - 29th July 2016.
  25. Knots in Hellas, Olympic Academy, Greece, 17th - 23rd July 2016, Slides.
  26. ECSTATIC 2, Imperial College London, 14th - 16th June 2016.
  27. Seminar talk, Universität Wien, 30th June 2016.
  28. Workshop: Categorification, Universität Bonn, Germany, 16th - 20th May 2016.
  29. Seminar talk, Oberseminar Darstellungstheorie, Universität Bonn, Germany, 15th April 2016.
  30. Seminar talk, MPI Oberseminar, Max-Planck-Institut für Mathematik Bonn, Germany, 14th April 2016.
  31. SwissMAP Conference, Engelberg, Switzerland, 24th - 30th January 2016.
  32. Series of talks on Khovanov homology, TAKTIC Seminar, Imperial College London, November - December 2015.
  33. Seminar talk and research visit, Physics and Geometry Seminar, Caltech, 15th November - 25th November 2015.
  34. Colloquium, George Washington University, Washington DC, 13th November 2015.
  35. Seminar talk, Columbia University, New York, 12th November 2015.
  36. AMS International Meeting, Porto, 10th June - 13th June 2015.
  37. Physics and mathematics of knot homologies, SCGP, Stony Brook, 1st June - 3rd June 2015. Video, Slides.
  38. Categorification in Algebra, Geometry and Physics (A conference in honor of the 60th Birthday of Christian Blanchet), IESC Corsica, 4th May - 8th May 2015.
  39. Seminar talk and research visit, Université catholique de Louvain, 22nd April - 25th April 2015.
  40. Seminar talk and research visit, Universität Zürich 17th March - 20th March 2015.
  41. Winter Braids V, Université de Pau, 16th February - 19th February 2015.
  42. Seminar talk, Durham University, 29th January 2015
  43. Seminar talk, Differential Geometry and Topology Seminar, University of Cambridge, 28th January 2015
  44. Seminar talk and research visit, Centre for Quantum Geometry of Moduli Spaces, Aarhus University, 12th January - 17th January 2015.
  45. Seminar talk, Institut de Mathématiques de Jussieu-Paris Rive Gauche (IMJ-PRG), 4th December 2014.
  46. Seminar talk, Université de Genève, 27th November 2014.
  47. Algebraic Lie theory and representation theory, LMS and Clay institute research school, University of Glasgow, 25th August - 29th August 2014.
  48. Seminar talk and research visit, Centre for Quantum Geometry of Moduli Spaces, Aarhus University, 8th July - 12th July 2014.
  49. Seminar talk, Erwin Schrödinger Institut, 30th June 2014.
  50. Quantum Curves and Quantum Knot Invariants, Banff International Research Station, 15th June - 20th June 2014.
  51. Categorification and geometric representation theory , Centre de recherches mathématiques, Université de Montréal, 9th June - 13th June 2014.
  52. Young Topology Meeting, Imperial College London, 6th June 2014.
  53. Topology in Low Dimensions, LMS Short Course, Durham University, 26th August - 30th August 2013.
  54. Physics and Mathematics of Link Homology, Séminaire de Mathématiques Supérieures, Centre de recherches mathématiques, Université de Montréal, 24th June - 5th July 2013.

Extracurricular activities:

Sailing: I am a skipper in the Cambridge University Yacht Club and I have been a main sail trimmer in the Cambridge University Yacht Racing Team, for which I have received a Cambridge Half Blue.
Running: In October 2017 I was part of a team from the Mathematical Sciences Institute which won Division 5 of Inward Bound, an overnight adventure footrace over roughly 50km in mountainous terrain.
Other stuff: I am interested in nuclear nonproliferation and disarmament. Here is a great podcast about these topics.
MSI Team for Inward Bound Punt sailing in Cambridge

Last update: 7th December 2017