overhaul
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Gaspard Jankowiak
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@ -5,17 +5,13 @@ lang: en
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---
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{% assign authors = site.data.authors %}
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<p id="info"><a href="/images/portrait_large.jpg"><img alt="src" src="/images/portrait.png" id="portrait"></a><span>
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Currently, I am a postdoc at the <a href="https://uni.kn/">University of Constance</a>, where I am working with <a href="{{authors['rr'].home}}">{{authors['rr'].fullname}}</a>. I previously worked on designing and analyzing models in the context of crowd motion and cell biology, including membranes of crawling lymphocytes.
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<p id="info"><a href="/images/portrait_large.jpg"><img alt="src" src="/images/portrait.png" id="portrait"></a><span id="resume">
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Currently, I am a postdoc at the <a href="https://uni.kn/">University of Constance</a> in the group of <a href="{{authors['os'].home}}">{{authors['os'].fullname}}</a>.
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I work on designing and analyzing models in the context of crowd motion and cell biology, including membranes of crawling lymphocytes.
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In the case I study more specifically, this leads to gradient-flows which govern the evolution of rheologically nonhomogeneous curves on the plane.
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More generally, I am also interested in analysis of non linear PDEs, of drift-diffusion type in particular, just like the Keller and Segel model for chemotaxis.
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This also leads me to study some related functional inequalities.</span></p>
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# PhD thesis
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Asymptotic study of non linear diffusion type PDEs and related functional inequalities ([TEL](https://tel.archives-ouvertes.fr/tel-01067226))
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Supervisor: <a href="{{authors['jd'].home}}">{{authors['jd'].fullname}}</a>. Written within <a href="http://www.ceremade.dauphine.fr/">Ceremade</a>, and defended on June 23, 2014.
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# Research
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* Modelling: biological membranes and crowd motion
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* Asymptotic behaviour for non linear diffusion
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@ -56,6 +52,12 @@ Supervisor: <a href="{{authors['jd'].home}}">{{authors['jd'].fullname}}</a>. Wri
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Applieds PDEs for Life Sciences – Barcelona
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([pdf](/files/research/posters/2012/2012_barcelona.pdf)|[source](/files/research/posters/2012/2012_barcelona.tar.gz))
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# PhD thesis
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Asymptotic study of non linear diffusion type PDEs and related functional inequalities ([TEL](https://tel.archives-ouvertes.fr/tel-01067226))
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Supervisor: <a href="{{authors['jd'].home}}">{{authors['jd'].fullname}}</a>. Written within <a href="http://www.ceremade.dauphine.fr/">Ceremade</a>, and defended on June 23, 2014.
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# Contact
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Gaspard Jankowiak
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**@** <span>gaspard</span><span></span>@<span>math.janko.fr</span>
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@ -7,49 +7,65 @@ fr_url: /enseignement/
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---
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{::options parse_block_html="true" /}
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# Constance (in German)
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# Constance
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# Winter semester 2022
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## Summer semester 2023
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## PDE III: Regularity Theory, The Theorem of De Giorgi, Nash and Moser
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- [ILIAS](https://ilias.uni-konstanz.de/goto_ILIASKONSTANZ_crs_1491669.html)
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- [Lecture notes](https://gaspard.janko.fr/s/enseignement/konstanz/SoSe2023/PDE3/PDE3-DeGiorgiNashMoser.pdf), in progress (also available on ILIAS)
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- Time: Wednesdays at 15:15, Room D436
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## Seminar: Keller-Segel Models: Long-time Behaviour
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- [ILIAS](https://ilias.uni-konstanz.de/goto_ILIASKONSTANZ_crs_1559853.html)
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- Time: Fridays at 10:00, Room D436
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## Past semesters (in German)
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<details>
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<summary markdown="span">Winter semester 2022</summary>
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For details, see [the page in german](/de#wintersemester2022)
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- Differential geometry III
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- PDE II
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# Past semesters
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</details>
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<details>
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<summary markdown="span">Summer semester 2022</summary>
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# Summer semester 2022
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- Geometric analysis seminar
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- Differential geometry II
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- Functional analysis II
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For details, see [the page in german](/de#sommersemester2022)
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- Geometric analysis seminar (Gage and Hamilton, *The Heat Equation Shrinking Convex Plane Curves*)
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- Differential geometry II (exercice classes)
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- Functional analysis II (exercise classes)
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</details>
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<details>
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<summary markdown="span">Winter semester 2021</summary>
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For details, see [the page in german](/de#wintersemester2021)
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# Winter semester 2021
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- ODEs with geometric applications
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- Theory of PDEs
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- ODEs with geometric applications (exercise classes)
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- Theory of PDEs (exercise classes)
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</details>
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# Paris-Dauphine (MIDO) (in French)
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# Paris-Dauphine (in French)
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## 2013-2014
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### Numerical optimization
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### Numerical optimization (exercise classes)
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[Webpage](https://www.ceremade.dauphine.fr/~amic/enseignement/OptiNum2014/) for the practical, managed by Amic Frouvelle.
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## 2012-2013
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### Linear algebra
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### Linear algebra (exercise classes)
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* [Best of partiel 2012](/files/al3/bop-2012.pdf)
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### Numerical optimization
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### Numerical optimization (exercise classes)
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* [Exercise sheet No.1](/files/opt/2013/TD1-2013.pdf): Finite differences, optimization in 1D.
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* Solution: [right FD](/files/opt/2013/diff_fin_droite.m) and [centered FD](/files/opt/2013/diff_fin_centre.m)
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* Exercise sheet No.2: [sheet](/files/opt/2013/TD2-2013.pdf),
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* Practical No.2 bis: [archive](/files/opt/2013/tp2bis.tar.gz), [sheet](/files/opt/2013/TP2bis-2013.pdf): Signal separation
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* Exercise sheet No.3: [sheet](/files/opt/2013/TD3-2013.pdf): _Inpainting_
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* Practical No.3: [sheet](/files/opt/2013/TP3-2013.pdf), [archive](/files/opt/2013/tp3.tar.gz)
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* Practicalolution](/files/opt/2013/CC1_correction.pdf) to the exam from 6th march 2013
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* [Solution](/files/opt/2013/CC1_correction.pdf) to the exam from 6th march 2013
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## 2011-2012
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### Linear algebra
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### Linear algebra (exercise classes)
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* [Sheet No.2 ex. 20](/files/al3/exo20.pdf) Projection on the spaces of scalar and diagonal matrices.
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### Numerical optimization
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### Numerical optimization (exercise classes)
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* [Solution](/files/opt/2012/corrige_cc.pdf) to the exam from 15th march 2012
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* [Exercise sheet No.1](/files/opt/2012/td1.pdf): Differential calculus: reminder
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* [Exercise sheet No.2](/files/opt/2012/tp22012.pdf): Portfolio optimization
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## 2010-2011
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### Linear algebra
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### Linear algebra (exercise classes)
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* [Extra exercise sheet](/files/al3/al3_supp.pdf) EV products, interpolation, equivalence of norms,
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induced norm, matrix-norm, orthogonal polynomials, Fredholm alternative, projectors, least-squares.
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