Claudius Zibrowius

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Claudius Zibrowius

⇝ Workshop May 2018: Perspectives on bordered Heegaard Floer theory

Home | Research | Teaching | Curriculum Vitæ | Miscellaneous

I am a postdoctoral researcher at the mathematics department of the University of Sherbrooke in Quebec, Canada, where I am working together with Liam Watson. This summer, I will be moving with him to UBC, Vancouver.

My email address is my name (claudius.zibrowius) followed by @posteo.net. My public PGP-key is available here.

In early 2017, I finished my PhD under the supervision of Jake Rasmussen at the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge. Afterwards, until June 2017, I was based at the Isaac Newton Institute where I participated in the programme Homology Theories in Low Dimensional Topology.

Before my PhD, I did Part III of the Mathematical Tripos at Cambridge. I wrote my Part III Essay under the supervision of Jake Rasmussen about Khovanov homology and Lipshitz and Sarkar's construction of a Khovanov homotopy type. I received my undergraduate degree from the University of Duisburg-Essen in 2012.

A more detailed CV can be found here.

I am interested in Heegaard Floer theories, in particular link Floer homology and its generalisations to tangles, which I study using bordered (sutured) Heegaard Floer homology and its relationship with Fukaya categories of surfaces. My research statement can be found here.

A talk that I recently gave at the Issac Newton Institute about my current research can be watched here.

In preparation

Symmetries of peculiar modules
Genera of 4-ended tangles (joint with Liam Watson)

Submitted preprints

Peculiar modules for 4-ended tangles (arXiv:1712.05050)
Kauffman states and Heegaard diagrams for tangles (arXiv:1601.04915)

Publications

My PhD thesis: On a Heegaard Floer theory for tangles (arXiv:1610.07494, also available from Cambridge Apollo)
Mon thèse de doctorat: On a Heegaard Floer theory for tangles (arXiv:1610.07494, aussi disponible à partir de Cambridge Apollo)
Meine Doktorarbeit: On a Heegaard Floer theory for tangles (arXiv:1610.07494, auch bei Cambridge Apollo verfügbar)
My Part III essay: Khovanov Stable Homotopy
This is essentially a summary of Lipshitz and Sarkar's construction of a Khovanov homotopy type.
Mon essai de Part III: Khovanov Stable Homotopy
C'est principalement un résumé de la construction par Lipshitz et Sarkar d'un type d'homotopie Khovanov.
Mein Part III Essay: Khovanov Stable Homotopy
Dies ist hauptsächlich eine Zusammenfassung von Lipshitz and Sarkars Konstruktion eines Khovanov-Homotopie-Typs.

Computer programs

APT.m computes the decategorified polynomial tangle invariants \(\nabla_T^s\) from my thesis.
APT.m calcule les invariants décategorisés \(\nabla_T^s\) de ma thèse.
APT.m berechnet die polynomialen Tangle-Invarianten \(\nabla_T^s\) aus meiner Doktorarbeit.
BSFH.m computes Zarev's bordered sutured Floer invariants for any bordered sutured manifold from nice diagrams.
BSFH.m calcule les invariants de bordées sutures Floer dû à Zarev pour tout variétés sutures et bordées à partir de nommé bons diagrammes («nice diagrams»).
BSFH.m berechnet die Invarianten von Zarevs bordered sutured Floer Theorie für bordered sutured Mannigfaltigkeiten, ausgehen von sogenannten schönen Diagrammen („nice diagrams”).

Both programs are licensed under AGPLv3. Manuals can be found in my thesis, see appendices C and D, respectively.

I used to be the organizer of the weekly Junior Geometry Seminar in Cambridge, called Geometry Tea. See here for up-to-date infos.

During my time in Cambridge, I was based at Trinity Hall and I was a member of the Trinity Hall Chapel Choir (THCC). In 2014, we recorded our debut CD in Brittany. In April 2016, we recorded music by Henry Purcell, which is now available here and at any decent CD shop.

I proudly support mailpile, a crowd-funded open-source email client which makes encrypting your emails super-easy. The first semi-stable release can be downloaded here.

My echo chamber:

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