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Matilde Marcolli

Summary

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.

Matilde Marcolli
Marcolli in 2010 at Oberwolfach
Born (1969-11-30) November 30, 1969 (age 55)
Como
NationalityItaly, United States
Alma materUniversity of Milan, University of Chicago
Scientific career
FieldsMathematics
InstitutionsUniversity of Bonn, Florida State University, Max Planck Institute for Mathematics, Caltech, University of Toronto, Perimeter Institute
Doctoral advisorMelvin Rothenberg

Career

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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

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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][8] noncommutative geometry with applications to number theory[9][10] and to physics models, especially related to particle physics,[11] quantum gravity[12] and cosmology,[13][14] and to the quantum Hall effect.[15][16] She also worked in linguistics.

She has collaborated with several other mathematicians, physicists, and linguists,[17] 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.[18]

Honors and awards

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In 2001 she obtained the Heinz Maier-Leibnitz-Preis of the Deutsche Forschungsgemeinschaft (DFG)[19] and in 2002 the Sofia Kovalevskaya Award of the Alexander von Humboldt Foundation.[20] She was a plenary speaker in the 2008 European Congress of Mathematics in Amsterdam (with a talk on Renormalization, Galois symmetries and motives)[21] and an invited speaker of the 2010 International Congress of Mathematicians in Hyderabad (with a talk on Noncommutative Geometry and Arithmetic).[22]

Books authored

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  • Marcolli, Matilde (1999). Seiberg-Witten gauge theory. New Delhi: Hindustan Book Agency. ISBN 9788185931227. OCLC 468606720.
  • Marcolli, Matilde; Manin, Jurij Ivanovič (2005). Arithmetic Noncommutative Geometry. American Mathematical Society. ISBN 9780821838334.
  • Connes, Alain; Marcolli, Matilde (2008). Noncommutative Geometry, Quantum Fields and Motives. American Mathematical Society. ISBN 9780821874783.
  • Marcolli, Matilde (2010). Feynman Motives. Singapore: World Scientific. ISBN 9789814271202.
  • Matilde, Marcolli (2017). Noncommutative Cosmology. Singapore: World Scientific. ISBN 9789813202863.
  • Marcolli, Matilde (2020). Lumen Naturae: Visions of the Abstract in Art and Mathematics. MIT Press. ISBN 9780262043908.[23]

Books edited

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  • Hertling, Claus; Marcolli, Matilde, eds. (2003). Frobenius Manifolds : Quantum Cohomology and Singularities. Vieweg-Teubner Verlag. ISBN 978-3-322-80238-5.
  • Consani, Caterina; Marcolli, Matilde, eds. (2006). Noncommutative geometry and number theory : where arithmetic meets geometry and physics (1st ed.). Vieweg-Teubner Verlag. ISBN 978-3-8348-0170-8.
  • Albeverio, Sergio; Marcolli, Matilde; Paycha, Sylvie; Plazas, Jorge (2008). Traces in Number Theory, Geometry and Quantum Fields. Vieweg+Teubner Verlag. ISBN 9783834803719.
  • Khalkhali, Masoud; Marcolli, Matilde (2008). An Invitation to Noncommutative Geometry. World Scientific. ISBN 9789812706164.
  • Ceyhan, Özgür; Manin, Yu I.; Marcolli, Matilde (2010). Arithmetic and Geometry Around Quantization. Springer. ISBN 9780817648312.
  • Abbaspour, Hossein; Marcolli, Matilde; Tradler, Thomas (2010). Deformation spaces : perspectives on algebro-geometric moduli. Vieweg+Teubner. ISBN 978-3-8348-1271-1.
  • Marcolli, Matilde; Parashar, Deepak (2011). Quantum groups and noncommutative spaces perspectives on quantum geometry: a publication of the Max-Planck-Institute for Mathematics, Bonn. Vieweg + Teubner. ISBN 9783834814425. OCLC 793144094.

References

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Citations
  1. ^ "Renzo A. Piccinini". Archived from the original on 2011-10-06. Retrieved 2011-04-05.
  2. ^ "Data sheet". www-math.mit.edu. Archived from the original on 2011-06-08. Retrieved 2011-04-05.
  3. ^ "Three new appointments bolster mathematics, cosmology at Perimeter | Perimeter Institute". www.perimeterinstitute.ca.
  4. ^ "Matilde Marcolli". www.its.caltech.edu.
  5. ^ Marcolli, Matilde; Wang, Bai-Ling (2001). "Equivariant Seiberg-Witten Floer homology". Communications in Analysis and Geometry. 9 (3): 451–639. arXiv:dg-ga/9606003. doi:10.4310/cag.2001.v9.n3.a1. ISSN 1019-8385. S2CID 119642585.
  6. ^ Marcolli, Matilde; Wang, Bai-Ling (2002). "Seiberg–Witten and Casson–Walker Invariants for Rational Homology 3-Spheres". Geometriae Dedicata. 91 (1): 45–58. doi:10.1023/a:1016299716922. ISSN 0046-5755. S2CID 54889038.
  7. ^ Connes, Alain; Marcolli, Matilde (2004). "Renormalization and motivic Galois theory". International Mathematics Research Notices. 2004 (76): 4073. arXiv:math/0409306. Bibcode:2004math......9306C. doi:10.1155/s1073792804143122. ISSN 1073-7928. S2CID 6972128.
  8. ^ Connes, Alain; Marcolli, Matilde (2007), "Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory", Frontiers in Number Theory, Physics, and Geometry II, Springer Berlin Heidelberg, pp. 617–713, doi:10.1007/978-3-540-30308-4_13, ISBN 9783540303077, S2CID 115824924
  9. ^ Cornelissen, Gunther; Marcolli, Matilde (2010). "Quantum Statistical Mechanics, L-series and Anabelian Geometry". arXiv:1009.0736. Bibcode:2010arXiv1009.0736C. {{cite journal}}: Cite journal requires |journal= (help)
  10. ^ Manin, Yuri I.; Marcolli, Matilde (2010-03-23). "Error-Correcting Codes and Phase Transitions". Mathematics in Computer Science. 5 (2): 133–170. arXiv:0910.5135. doi:10.1007/s11786-010-0031-8. ISSN 1661-8270. S2CID 2811269.
  11. ^ Chamseddine, Ali H.; Connes, Alain; Marcolli, Matilde (2007). "Gravity and the standard model with neutrino mixing". Advances in Theoretical and Mathematical Physics. 11 (6): 991–1089. arXiv:hep-th/0610241. doi:10.4310/atmp.2007.v11.n6.a3. ISSN 1095-0761. S2CID 9042911.
  12. ^ Denicola, Domenic; Marcolli, Matilde; Zainy al-Yasry, Ahmad (2010-09-22). "Spin foams and noncommutative geometry". Classical and Quantum Gravity. 27 (20): 205025. arXiv:1005.1057. Bibcode:2010CQGra..27t5025D. doi:10.1088/0264-9381/27/20/205025. ISSN 0264-9381. S2CID 784922.
  13. ^ Cornelissen, Gunther; Marcolli, Matildedate=2010 (2010). "Early Universe models from Noncommutative Geometry". Advances in Theoretical and Mathematical Physics. 14 (5): 1373–1432. arXiv:0908.3683. Bibcode:2009arXiv0908.3683M. doi:10.4310/ATMP.2010.v14.n5.a2.{{cite journal}}: CS1 maint: numeric names: authors list (link)
  14. ^ Cornelissen, Gunther; Marcolli, Matilde; Teh, Kevin (2011). "The spectral action and cosmic topology". Commun. Math. Phys. 304 (1): 125–174. arXiv:1005.2256. Bibcode:2011CMaPh.304..125M. CiteSeerX 10.1.1.750.9746. doi:10.1007/s00220-011-1211-3. S2CID 17993811.
  15. ^ Marcolli, Matilde; Mathai, Mathaiavarghese (November 1999). "Twisted Index Theory on Good Orbifolds, I: Noncommutative Bloch Theory". Communications in Contemporary Mathematics. 01 (4): 553–587. arXiv:math/9911102. Bibcode:1999math.....11102M. doi:10.1142/s0219199799000213. ISSN 0219-1997. S2CID 14332705.
  16. ^ Marcolli, Matilde; Mathai, Varghese (2001-02-01). "Twisted Index Theory on Good Orbifolds, II: fractional Quantum Numbers". Communications in Mathematical Physics. 217 (1): 55–87. arXiv:math/9911103. Bibcode:2001CMaPh.217...55M. doi:10.1007/s002200000351. ISSN 0010-3616. S2CID 16204516.
  17. ^ "Matilde Marcolli: Collaborators and Students". www.its.caltech.edu.
  18. ^ "Matilde Marcolli - the Mathematics Genealogy Project".
  19. ^ "DFG - Deutsche Forschungsgemeinschaft - Heinz Maier-Leibnitz-Preis 2001". www.dfg.de.
  20. ^ "Mathmatecs people" (PDF). www.ams.org.
  21. ^ "Guide to Amsterdam 5th European Mathematical Congress". www.5ecm.nl. Archived from the original on 2010-08-01. Retrieved 2011-04-05.
  22. ^ "International Congress of Mathematicians 2010, Hyderabad". Archived from the original on 2010-02-08. Retrieved 2010-02-17.
  23. ^ Reviews of Lumen Naturae:
    • Bultheel, Adhemar (August 31, 2020). "Review". European Mathematical Society.
    • Campbell, Paul J. (January 2021). "Reviews". Mathematics Magazine. 94 (1): 79–80. doi:10.1080/0025570x.2021.1850138. Zbl 1464.00005.
    • Garcia, Stephan Ramon (September 2021). "AMS Bookshelf" (PDF). Notices of the American Mathematical Society. 68 (8): 1348.
    • McRae, Alan S. MathSciNet. MR 4233978.{{cite journal}}: CS1 maint: untitled periodical (link)
    • Pambuccian, Victor V. zbMATH. Zbl 1460.00030.{{cite journal}}: CS1 maint: untitled periodical (link)
    • Saunders, Peter (2021). "Reviews" (PDF). Newsletter of the London Mathematical Society. 2021 (492): 43–44. Zbl 1478.00014.
Sources
  • Carey, A. L.; Marcolli, M.; Wang, B. L. (April 2003). "The Geometric Triangle for 3-dimensional Seiberg–witten Monopoles". Communications in Contemporary Mathematics. 05 (2): 197–250. arXiv:math/9907065. doi:10.1142/s0219199703000975. ISSN 0219-1997. S2CID 16472497.
  • Aluffi, Paolo; Marcolli, Matilde (2009). "Feynman motives of banana graphs". Communications in Number Theory and Physics. 3 (1): 1–57. arXiv:0807.1690. doi:10.4310/cntp.2009.v3.n1.a1. ISSN 1931-4523. S2CID 13693830.
  • Aluffi, Paolo; Marcolli, Matilde (2010). "Parametric Feynman integrals and determinant hypersurfaces". Advances in Theoretical and Mathematical Physics. 14 (3): 911–964. arXiv:0901.2107. doi:10.4310/atmp.2010.v14.n3.a5. ISSN 1095-0761. S2CID 5837709.
  • M.Marcolli, Motivic renormalization and singularities to appear in "Quanta of Maths, in honor of Alain Connes" Clay Mathematical Institute, 2010.
  • Marcolli, Matilde (2008). "Solvmanifolds and noncommutative tori with real multiplication". Communications in Number Theory and Physics. 2 (2): 421–476. doi:10.4310/cntp.2008.v2.n2.a4. ISSN 1931-4523.
  • Manin, Yuri I.; Marcolli, Matilde (2008), Modular Forms on Schiermonnikoog, Cambridge University Press, pp. 189–238, CiteSeerX 10.1.1.240.9146, doi:10.1017/cbo9780511543371.012, ISBN 9780511543371, S2CID 118448256
  • Consani, Caterina; Marcolli, Matilde (April 2007). "Quantum statistical mechanics over function fields". Journal of Number Theory. 123 (2): 487–528. arXiv:math/0607363. doi:10.1016/j.jnt.2006.12.002. ISSN 0022-314X. S2CID 6463392.
  • Connes, Alain; Consani, Caterina; Marcolli, Matilde (2009), "The Weil Proof and the Geometry of the Adelès Class Space", Algebra, Arithmetic, and Geometry, Progress in Mathematics, vol. 269, Birkhäuser Boston, pp. 339–405, arXiv:math/0703392, doi:10.1007/978-0-8176-4745-2_8, ISBN 9780817647445, S2CID 6527362
  • Connes, Alain; Consani, Caterina; Marcolli, Matilde (October 2007). "Noncommutative geometry and motives: The thermodynamics of endomotives". Advances in Mathematics. 214 (2): 761–831. arXiv:math/0512138. doi:10.1016/j.aim.2007.03.006. ISSN 0001-8708. S2CID 6255128.
  • Connes, Alain; Marcolli, Matilde; Ramachandran, Niranjan (2005-12-28). "KMS states and complex multiplication". Selecta Mathematica. 11 (3–4): 325–347. arXiv:math/0501424. Bibcode:2005math......1424C. doi:10.1007/s00029-005-0013-x. ISSN 1022-1824. S2CID 10792121.
  • A.Connes, M. Marcolli, Quantum Statistical Mechanics of Q-lattices in "Frontiers in Number Theory, Physics, and Geometry, I" pp. 269–350, Springer Verlag, 2006.
  • Consani, Caterina; Marcolli, Matilde (August 2004). "Noncommutative geometry, dynamics, and ∞-adic Arakelov geometry". Selecta Mathematica. 10 (2): 167–251. CiteSeerX 10.1.1.239.9156. doi:10.1007/s00029-004-0369-3. ISSN 1022-1824. S2CID 51793790.
  • Marcolli, Matilde (February 2003). "Limiting modular symbols and the Lyapunov spectrum". Journal of Number Theory. 98 (2): 348–376. arXiv:math/0111093. doi:10.1016/s0022-314x(02)00044-6. ISSN 0022-314X.
  • Manin, Yuri I.; Marcolli, Matilde (2001). "Holography principle and arithmetic of algebraic curves". Advances in Theoretical and Mathematical Physics. 5 (3): 617–650. arXiv:hep-th/0201036. doi:10.4310/atmp.2001.v5.n3.a6. ISSN 1095-0761.
  • Manin, Y. I.; Marcolli, M. (2002-09-01). "Continued fractions, modular symbols, and noncommutative geometry". Selecta Mathematica. New Series. 8 (3): 475–521. CiteSeerX 10.1.1.239.20. doi:10.1007/s00029-002-8113-3. ISSN 1022-1824. S2CID 17383784.
  • Kolodrubetz, Daniel; Marcolli, Matilde (September 2010). "Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology". Physics Letters B. 693 (2): 166–174. arXiv:1006.4000. Bibcode:2010PhLB..693..166K. doi:10.1016/j.physletb.2010.08.018. ISSN 0370-2693. S2CID 1030713.
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