Matilde Marcolli Explained

Matilde Marcolli
Birth Date:30 November 1969
Birth Place:Como
Nationality:Italy, United States
Fields:Mathematics
Workplaces:University of Bonn, Florida State University, Max Planck Institute for Mathematics, Caltech, University of Toronto, Perimeter Institute
Alma Mater:University of Milan, University of Chicago
Doctoral Advisor:Melvin Rothenberg

Matilde Marcolli is an Italian and American mathematical physicist. She has conducted research work in areas of mathematics and theoretical physics; obtained the Heinz Maier-Leibnitz-Preis of the Deutsche Forschungsgemeinschaft, and the Sofia Kovalevskaya Award of the Alexander von Humboldt Foundation. Marcolli has authored and edited numerous books in the field. She is currently the Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences at the California Institute of Technology.

Career

Marcolli obtained her Laurea in Physics in 1993 summa cum laude from the University of Milan under the supervision of Renzo Piccinini, with a thesis on Classes of self equivalences of fibre bundles.[1] She moved to the USA in 1994, where she obtained a master's degree (1994) and a PhD (1997) in Mathematics from the University of Chicago, under the supervision of Melvin Rothenberg, with a thesis on Three dimensional aspects of Seiberg-Witten Gauge Theory. Between 1997 and 2000 she worked at the Massachusetts Institute of Technology (MIT) as a C.L.E. Moore instructor in the Department of Mathematics.[2]

Between 2000 and 2010 she held a C3 position (German equivalent of associate professor) at the Max Planck Institute for Mathematics in Bonn and held an associate professor position (courtesy) at Florida State University in Tallahassee. She also held an honorary professorship at the University of Bonn. From 2008 to 2017 she was a full professor of Mathematics in the Division of Physics, Mathematics and Astronomy of the California Institute of Technology. Between 2018 and 2020 she was a professor in the mathematics department of the University of Toronto and a member of the Perimeter Institute.[3] She is currently the Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences at the California Institute of Technology.

She held visiting positions at the Tata Institute of Fundamental Research in Mumbai, the Kavli Institute for Theoretical Physics in Santa Barbara, the Mittag-Leffler Institute in Stockholm, the Isaac Newton Institute in Cambridge, and the Mathematical Sciences Research Institute in Berkeley, California.[4]

Research

Marcolli's research work has covered different areas of mathematics and theoretical physics: gauge theory and low-dimensional topology,[5] [6] algebraic-geometric structures in quantum field theory,[7] noncommutative geometry with applications to number theory[8] [9] and to physics models, especially related to particle physics,[10] quantum gravity[11] and cosmology,[12] [13] and to the quantum Hall effect.[14] [15] She also worked in linguistics.

She has collaborated with several other mathematicians, physicists, and linguists,[16] among them Yuri I. Manin, Alain Connes, Michael Atiyah, Roger Penrose, Noam Chomsky. Twenty six graduate students obtained their PhD under her supervision between 2006 and 2022.[17]

Honors and awards

In 2001 she obtained the Heinz Maier-Leibnitz-Preis of the Deutsche Forschungsgemeinschaft (DFG)[18] and in 2002 the Sofia Kovalevskaya Award of the Alexander von Humboldt Foundation.[19] She was a plenary speaker in the 2008 European Congress of Mathematics in Amsterdam (with a talk on Renormalization, Galois symmetries and motives)[20] and an invited speaker of the 2010 International Congress of Mathematicians in Hyderabad (with a talk on Noncommutative Geometry and Arithmetic).[21]

Books authored

Books edited

References

Citations
Sources

External links

Notes and References

  1. Web site: Renzo A. Piccinini . 2011-04-05 . https://web.archive.org/web/20111006153309/http://www.matapp.unimib.it/~renzo/ . 2011-10-06 . dead .
  2. Web site: Data sheet . www-math.mit.edu . 2011-04-05 . 2011-06-08 . https://web.archive.org/web/20110608181031/http://www-math.mit.edu/~hrm/moores.txt . dead .
  3. Web site: Three new appointments bolster mathematics, cosmology at Perimeter | Perimeter Institute. www.perimeterinstitute.ca.
  4. Web site: Matilde Marcolli. www.its.caltech.edu.
  5. Marcolli. Matilde. Wang. Bai-Ling. 2001. Equivariant Seiberg-Witten Floer homology. Communications in Analysis and Geometry. EN. 9. 3. 451–639. 10.4310/cag.2001.v9.n3.a1. 1019-8385. dg-ga/9606003. 119642585.
  6. Marcolli. Matilde. Wang. Bai-Ling. 2002. Seiberg–Witten and Casson–Walker Invariants for Rational Homology 3-Spheres. Geometriae Dedicata. en. 91. 1. 45–58. 10.1023/a:1016299716922. 54889038. 0046-5755.
  7. Connes. Alain. Marcolli. Matilde. 2004. Renormalization and motivic Galois theory. International Mathematics Research Notices. en. 2004. 76. 4073. 10.1155/s1073792804143122. 1073-7928. 2004math......9306C. math/0409306. 6972128. free .
  8. Quantum Statistical Mechanics, L-series and Anabelian Geometry. 1009.0736. Cornelissen. Gunther. Marcolli. Matilde. 2010. 2010arXiv1009.0736C.
  9. Manin. Yuri I.. Marcolli. Matilde. 2010-03-23. Error-Correcting Codes and Phase Transitions. Mathematics in Computer Science. en. 5. 2. 133–170. 10.1007/s11786-010-0031-8. 1661-8270. 0910.5135. 2811269.
  10. Chamseddine. Ali H.. Connes. Alain. Marcolli. Matilde. 2007. Gravity and the standard model with neutrino mixing. Advances in Theoretical and Mathematical Physics. EN. 11. 6. 991–1089. 10.4310/atmp.2007.v11.n6.a3. 1095-0761. hep-th/0610241. 9042911.
  11. Denicola. Domenic. Marcolli. Matilde. Zainy al-Yasry. Ahmad. 2010-09-22. Spin foams and noncommutative geometry. Classical and Quantum Gravity. 27. 20. 205025. 10.1088/0264-9381/27/20/205025. 0264-9381. 1005.1057. 2010CQGra..27t5025D. 784922.
  12. Early Universe models from Noncommutative Geometry. 0908.3683. Cornelissen. Gunther. Marcolli. Matildedate=2010. 2009arXiv0908.3683M. Advances in Theoretical and Mathematical Physics. 14. 5. 1373—1432. 10.4310/ATMP.2010.v14.n5.a2 . free.
  13. The spectral action and cosmic topology. Commun. Math. Phys.. 304. 1. 125–174. 1005.2256. Cornelissen. Gunther. Marcolli. Matilde. Teh. Kevin. 2011. 10.1007/s00220-011-1211-3. 10.1.1.750.9746. 2011CMaPh.304..125M. 17993811.
  14. Marcolli. Matilde. Mathai. Mathaiavarghese. November 1999. Twisted Index Theory on Good Orbifolds, I: Noncommutative Bloch Theory. Communications in Contemporary Mathematics. en. 01. 4. 553–587. 10.1142/s0219199799000213. 0219-1997. math/9911102. 1999math.....11102M. 14332705.
  15. Marcolli. Matilde. Mathai. Varghese. 2001-02-01. Twisted Index Theory on Good Orbifolds, II: fractional Quantum Numbers. Communications in Mathematical Physics. en. 217. 1. 55–87. 10.1007/s002200000351. 0010-3616. math/9911103. 2001CMaPh.217...55M. 16204516.
  16. Web site: Matilde Marcolli: Collaborators and Students. www.its.caltech.edu.
  17. Web site: Matilde Marcolli - the Mathematics Genealogy Project .
  18. Web site: DFG - Deutsche Forschungsgemeinschaft - Heinz Maier-Leibnitz-Preis 2001. www.dfg.de.
  19. Web site: Mathmatecs people . www.ams.org.
  20. Web site: Guide to Amsterdam 5th European Mathematical Congress. www.5ecm.nl. 2011-04-05. https://web.archive.org/web/20100801034412/http://www.5ecm.nl/program. 2010-08-01. dead.
  21. Web site: International Congress of Mathematicians 2010, Hyderabad . 2010-02-17 . dead . https://web.archive.org/web/20100208184251/http://www.icm2010.org.in/ . 2010-02-08 .
  22. Reviews of Lumen Naturae:
    • Web site: Bultheel . Adhemar . Adhemar Bultheel . August 31, 2020 . European Mathematical Society . Review .
    • Campbell . Paul J. . January 2021 . 10.1080/0025570x.2021.1850138 . 1 . Mathematics Magazine . 79–80 . Reviews . 94 . 1464.00005.
    • Garcia . Stephan Ramon . Stephan Ramon Garcia . September 2021 . 8 . Notices of the American Mathematical Society . 1348 . AMS Bookshelf . 68.
    • McRae . Alan S. . MathSciNet . 4233978 . none.
    • Pambuccian . Victor V. . zbMATH . none . 1460.00030.
    • Saunders . Peter . 492 . Newsletter of the London Mathematical Society . 43–44 . Reviews . 2021 . 2021 . 1478.00014.

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