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==Scientific activity==
==Scientific activity==
Malchiodi received his Ph.D. in mathematics from the [[International School for Advanced Studies]] in 2000 having [[Antonio Ambrosetti]] as advisor; he is professor of mathematics at the [[Scuola_Normale_Superiore_di_Pisa|Scuola Normale Superiore]] at Pisa. He has previously been professor of mathematics at the [[International School for Advanced Studies]] and at the [[University of Warwick]]. Malchiodi has developed topological and analytical methods allowing to deal with a number of questions in geometric analysis, such as the [[Yamabe problem]], the [[scalar curvature]] problem, problems coming from fourth order
Malchiodi received his Ph.D. in mathematics from the [[International School for Advanced Studies]] in 2000 having [[Antonio Ambrosetti]] as advisor; he is professor of mathematics at the [[Scuola_Normale_Superiore_di_Pisa|Scuola Normale Superiore]] at Pisa. He has previously been professor of mathematics at the [[International School for Advanced Studies]] and at the [[University of Warwick]]. Malchiodi has developed topological and analytical methods allowing to deal with a number of questions in geometric analysis, such as the [[Yamabe problem]], the [[scalar curvature]] problem, problems coming from fourth order
[[conformal geometry]] and concentration for singular perturbation problems.<ref>{{cite web|title=Caccioppoli prize citation|url=http://umi.dm.unibo.it/caccioppoli/vincitori-en.html#2006|publisher=Italian Mathematical Union|accessdate=May 5, 2013}}</ref><ref>{{cite web|title=Existence of conformal metrics with constant Q-curvature|url=http://annals.math.princeton.edu/2008/168-3/p03|publisher=Annals of Mathematics|accessdate=June 12, 2013}}</ref><ref>{{cite web|title=Q-curvature flow on S4|url=http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jdg/1146680511|publisher=Journal of Differential Geometry|accessdate=June 12, 2013}}</ref> In particular, he has proved some new intricate forms of improved Moser-[[Neil Trudinger|Trudinger]] inequalities allowing to prove existence results for singular [[Joseph Liouville|Liouville]] equations.<ref>{{cite web|title=New Improved Moser–Trudinger Inequalities and Singular Liouville Equations on Compact Surfaces|url=https://link.springer.com/article/10.1007%2Fs00039-011-0134-7|publisher=Geometric and Functional Analysis|accessdate=January 8, 2014}}</ref> Similar types of inequalities allow to prove existence results for Toda systems on surfaces.<ref>{{cite web|title=A Variational Analysis of the Toda System on Compact Surfaces|url=http://onlinelibrary.wiley.com/doi/10.1002/cpa.21433/abstract;jsessionid=05C7EC323129B359C4E2B4C708F7F000.f01t02|publisher=Communications on Pure and Applied Mathematics|accessdate=January 8, 2014}}</ref> Malchiodi has been visiting professor in many universities and institutions, amongst which, [[Stanford University]], [[Institute for Advanced Study|The Institute for Advanced Study]] at Princeton, [[ETH Zurich|ETH]] at Zurich. He belongs to the editorial board of several mathematical journals and is one of the managing editors of the journal Calculus of Variations & PDE.<ref>{{cite web|title=Calculus of Variations & PDE|url=https://www.springer.com/mathematics/analysis/journal/526|accessdate=January 19, 2014}}</ref>
[[conformal geometry]] and concentration for singular perturbation problems.<ref>{{cite web|title=Caccioppoli prize citation|url=http://umi.dm.unibo.it/caccioppoli/vincitori-en.html#2006|publisher=Italian Mathematical Union|accessdate=May 5, 2013}}</ref><ref>{{cite web|title=Existence of conformal metrics with constant Q-curvature|url=http://annals.math.princeton.edu/2008/168-3/p03|publisher=Annals of Mathematics|accessdate=June 12, 2013}}</ref><ref>{{cite journal|title=Q-curvature flow on S4|journal=Journal of Differential Geometry|volume=73|pages=1–44|url=http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jdg/1146680511|accessdate=June 12, 2013|doi=10.4310/jdg/1146680511|year=2006|last1=Malchiodi|first1=Andrea|last2=Struwe|first2=Michael}}</ref> In particular, he has proved some new intricate forms of improved Moser-[[Neil Trudinger|Trudinger]] inequalities allowing to prove existence results for singular [[Joseph Liouville|Liouville]] equations.<ref>{{cite journal|title=New Improved Moser–Trudinger Inequalities and Singular Liouville Equations on Compact Surfaces|journal=Geometric and Functional Analysis|volume=21|issue=5|pages=1196–1217|doi=10.1007/s00039-011-0134-7|year=2011|last1=Malchiodi|first1=Andrea|last2=Ruiz|first2=David|arxiv=1007.3861}}</ref> Similar types of inequalities allow to prove existence results for Toda systems on surfaces.<ref>{{cite journal|title=A Variational Analysis of the Toda System on Compact Surfaces|journal=Communications on Pure and Applied Mathematics|volume=66|issue=3|pages=332–371|doi=10.1002/cpa.21433|year=2013|last1=Malchiodi|first1=Andrea|last2=Ruiz|first2=David|arxiv=1105.3701}}</ref> Malchiodi has been visiting professor in many universities and institutions, amongst which, [[Stanford University]], [[Institute for Advanced Study|The Institute for Advanced Study]] at Princeton, [[ETH Zurich|ETH]] at Zurich. He belongs to the editorial board of several mathematical journals and is one of the managing editors of the journal Calculus of Variations & PDE.<ref>{{cite web|title=Calculus of Variations & PDE|url=https://www.springer.com/mathematics/analysis/journal/526|accessdate=January 19, 2014}}</ref>


==Recognition==
==Recognition==

Revision as of 01:41, 2 February 2019

Andrea Malchiodi
Born (1972-09-30) 30 September 1972 (age 51)
Piacenza, Italy
NationalityItalian
Alma materInternational School for Advanced Studies
AwardsCaccioppoli Prize (2006)
Scientific career
FieldsMathematics
InstitutionsScuola Normale Superiore
Doctoral advisorAntonio Ambrosetti

Andrea Malchiodi (born September 30, 1972) is an Italian mathematician who is active in the fields of partial differential equations and calculus of variations, with several contributions to geometric analysis.

Scientific activity

Malchiodi received his Ph.D. in mathematics from the International School for Advanced Studies in 2000 having Antonio Ambrosetti as advisor; he is professor of mathematics at the Scuola Normale Superiore at Pisa. He has previously been professor of mathematics at the International School for Advanced Studies and at the University of Warwick. Malchiodi has developed topological and analytical methods allowing to deal with a number of questions in geometric analysis, such as the Yamabe problem, the scalar curvature problem, problems coming from fourth order conformal geometry and concentration for singular perturbation problems.[1][2][3] In particular, he has proved some new intricate forms of improved Moser-Trudinger inequalities allowing to prove existence results for singular Liouville equations.[4] Similar types of inequalities allow to prove existence results for Toda systems on surfaces.[5] Malchiodi has been visiting professor in many universities and institutions, amongst which, Stanford University, The Institute for Advanced Study at Princeton, ETH at Zurich. He belongs to the editorial board of several mathematical journals and is one of the managing editors of the journal Calculus of Variations & PDE.[6]

Recognition

Malchiodi has been awarded the Caccioppoli prize in 2006. In 2005 he has been awarded, jointly with Antonio Ambrosetti, the Ferran Sunyer i Balaguer prize.[7] Malchiodi has been included in the list of invited speakers at the 2014 International Congress of Mathematicians in Seoul.[8]

References

  1. ^ "Caccioppoli prize citation". Italian Mathematical Union. Retrieved May 5, 2013.
  2. ^ "Existence of conformal metrics with constant Q-curvature". Annals of Mathematics. Retrieved June 12, 2013.
  3. ^ Malchiodi, Andrea; Struwe, Michael (2006). "Q-curvature flow on S4". Journal of Differential Geometry. 73: 1–44. doi:10.4310/jdg/1146680511. Retrieved June 12, 2013.
  4. ^ Malchiodi, Andrea; Ruiz, David (2011). "New Improved Moser–Trudinger Inequalities and Singular Liouville Equations on Compact Surfaces". Geometric and Functional Analysis. 21 (5): 1196–1217. arXiv:1007.3861. doi:10.1007/s00039-011-0134-7.
  5. ^ Malchiodi, Andrea; Ruiz, David (2013). "A Variational Analysis of the Toda System on Compact Surfaces". Communications on Pure and Applied Mathematics. 66 (3): 332–371. arXiv:1105.3701. doi:10.1002/cpa.21433.
  6. ^ "Calculus of Variations & PDE". Retrieved January 19, 2014.
  7. ^ "Ferran Sunyer i Balaguer prize". Archived from the original on July 2, 2007. Retrieved May 5, 2013. {{cite web}}: Unknown parameter |dead-url= ignored (|url-status= suggested) (help)
  8. ^ Sectional invited speakers at the 2014 International Congress of Mathematicians Archived 2013-07-18 at the Wayback Machine

External links

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