Matilde Marcolli

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.{{Cite web |url=http://www.matapp.unimib.it/~renzo/ |title=Renzo A. Piccinini |access-date=2011-04-05 |archive-url=https://web.archive.org/web/20111006153309/http://www.matapp.unimib.it/~renzo/ |archive-date=2011-10-06 |url-status=dead }} 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.{{cite web |url=http://www-math.mit.edu/~hrm/moores.txt |title=Data sheet |website=www-math.mit.edu |access-date=2011-04-05 |archive-date=2011-06-08 |archive-url=https://web.archive.org/web/20110608181031/http://www-math.mit.edu/~hrm/moores.txt |url-status=dead }}

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.{{Cite web|url=https://www.perimeterinstitute.ca/news/three-new-appointments-bolster-mathematics-cosmology-perimeter|title=Three new appointments bolster mathematics, cosmology at Perimeter | Perimeter Institute|website=www.perimeterinstitute.ca}} 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.{{cite web|url=http://www.its.caltech.edu/~matilde/|title=Matilde Marcolli|website=www.its.caltech.edu}}

Marcolli's research work has covered different areas of mathematics and theoretical physics: gauge theory and low-dimensional topology,{{Cite journal|last1=Marcolli|first1=Matilde|last2=Wang|first2=Bai-Ling|date=2001|title=Equivariant Seiberg-Witten Floer homology|journal=Communications in Analysis and Geometry|language=EN|volume=9|issue=3|pages=451–639|doi=10.4310/cag.2001.v9.n3.a1|arxiv=dg-ga/9606003|s2cid=119642585}}{{Cite journal|last1=Marcolli|first1=Matilde|last2=Wang|first2=Bai-Ling|date=2002|title=Seiberg–Witten and Casson–Walker Invariants for Rational Homology 3-Spheres|journal=Geometriae Dedicata|language=en|volume=91|issue=1|pages=45–58|doi=10.1023/a:1016299716922|s2cid=54889038}} algebraic-geometric structures in quantum field theory,{{Cite journal|last1=Connes|first1=Alain|last2=Marcolli|first2=Matilde|date=2004|title=Renormalization and motivic Galois theory|journal=International Mathematics Research Notices|language=en|volume=2004|issue=76|pages=4073|doi=10.1155/s1073792804143122|arxiv=math/0409306|s2cid=6972128|doi-access=free }}{{cite book|last1=Connes|first1=Alain|chapter=Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory|date=2007|title=Frontiers in Number Theory, Physics, and Geometry II|pages=617–713|publisher=Springer Berlin Heidelberg|language=en|doi=10.1007/978-3-540-30308-4_13|isbn=9783540303077|last2=Marcolli|first2=Matilde|s2cid=115824924}} noncommutative geometry with applications to number theory{{cite arXiv|eprint=1009.0736 |last1=Cornelissen |first1=Gunther |last2=Marcolli |first2=Matilde |title=Quantum Statistical Mechanics, L-series and Anabelian Geometry |date=2010 |class=math.NT }}{{Cite journal|last1=Manin|first1=Yuri I.|last2=Marcolli|first2=Matilde|date=2010-03-23|title=Error-Correcting Codes and Phase Transitions|journal=Mathematics in Computer Science|language=en|volume=5|issue=2|pages=133–170|doi=10.1007/s11786-010-0031-8|arxiv=0910.5135|s2cid=2811269}} and to physics models, especially related to particle physics,{{Cite journal|last1=Chamseddine|first1=Ali H.|last2=Connes|first2=Alain|last3=Marcolli|first3=Matilde|date=2007|title=Gravity and the standard model with neutrino mixing|journal=Advances in Theoretical and Mathematical Physics|language=EN|volume=11|issue=6|pages=991–1089|doi=10.4310/atmp.2007.v11.n6.a3|arxiv=hep-th/0610241|s2cid=9042911}} quantum gravity{{Cite journal|last1=Denicola|first1=Domenic|last2=Marcolli|first2=Matilde|last3=Zainy al-Yasry|first3=Ahmad|date=2010-09-22|title=Spin foams and noncommutative geometry|journal=Classical and Quantum Gravity|volume=27|issue=20|pages=205025|doi=10.1088/0264-9381/27/20/205025|arxiv=1005.1057|bibcode=2010CQGra..27t5025D|s2cid=784922}} and cosmology,{{cite journal | last1=Marcolli | first1=Matilde | last2=Pierpaoli | first2=Elena | title=Early universe models from noncommutative geometry | journal=Advances in Theoretical and Mathematical Physics | volume=14 | issue=5 | date=2010 | doi=10.4310/ATMP.2010.v14.n5.a2 | doi-access=free | pages=1373–1432 | url=https://www.intlpress.com/site/pub/files/_fulltext/journals/atmp/2010/0014/0005/ATMP-2010-0014-0005-a002.pdf | access-date=2025-05-10}}{{Cite journal|title=The spectral action and cosmic topology|journal=Commun. Math. Phys.|volume=304|issue=1|pages=125–174|arxiv=1005.2256|last1=Cornelissen|first1=Gunther|last2=Marcolli|first2=Matilde|last3=Teh|first3=Kevin|year=2011|doi=10.1007/s00220-011-1211-3|citeseerx=10.1.1.750.9746|bibcode=2011CMaPh.304..125M|s2cid=17993811}} and to the quantum Hall effect.{{Cite journal|last1=Marcolli|first1=Matilde|last2=Mathai|first2=Mathaiavarghese|date=November 1999|title=Twisted Index Theory on Good Orbifolds, I: Noncommutative Bloch Theory|journal=Communications in Contemporary Mathematics|language=en|volume=01|issue=4|pages=553–587|doi=10.1142/s0219199799000213|arxiv=math/9911102|bibcode=1999math.....11102M|s2cid=14332705}}{{Cite journal|last1=Marcolli|first1=Matilde|last2=Mathai|first2=Varghese|date=2001-02-01|title=Twisted Index Theory on Good Orbifolds, II: fractional Quantum Numbers|journal=Communications in Mathematical Physics|language=en|volume=217|issue=1|pages=55–87|doi=10.1007/s002200000351|arxiv=math/9911103|bibcode=2001CMaPh.217...55M|s2cid=16204516}}

She also worked in linguistics.

She has collaborated with several other mathematicians, physicists, and linguists,{{cite web|url=http://www.its.caltech.edu/~matilde/people.html|title=Matilde Marcolli: Collaborators and Students|website=www.its.caltech.edu}} 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.{{cite web|url=https://www.mathgenealogy.org/id.php?id=36888| title=Matilde Marcolli - the Mathematics Genealogy Project }}

In 2001 she obtained the Heinz Maier-Leibnitz-Preis of the Deutsche Forschungsgemeinschaft (DFG){{cite web|url=https://www.dfg.de/gefoerderte_projekte/wissenschaftliche_preise/leibnitz-preis/2001/index.html|title=DFG - Deutsche Forschungsgemeinschaft - Heinz Maier-Leibnitz-Preis 2001|website=www.dfg.de}} and in 2002 the Sofia Kovalevskaya Award of the Alexander von Humboldt Foundation.{{cite web |url=https://www.ams.org/notices/200203/people.pdf |title=Mathmatecs people |website=www.ams.org}} She was a plenary speaker in the 2008 European Congress of Mathematics in Amsterdam (with a talk on Renormalization, Galois symmetries and motives){{cite web|url=http://www.5ecm.nl/program|title=Guide to Amsterdam 5th European Mathematical Congress|website=www.5ecm.nl|access-date=2011-04-05|archive-url=https://web.archive.org/web/20100801034412/http://www.5ecm.nl/program|archive-date=2010-08-01|url-status=dead}} and an invited speaker of the 2010 International Congress of Mathematicians in Hyderabad (with a talk on Noncommutative Geometry and Arithmetic).{{cite web|url=http://www.icm2010.org.in/ |title=International Congress of Mathematicians 2010, Hyderabad |access-date=2010-02-17 |url-status=dead |archive-url=https://web.archive.org/web/20100208184251/http://www.icm2010.org.in/ |archive-date=2010-02-08 }}

• {{cite book |last1=Marcolli |first1=Matilde |title=Seiberg-Witten gauge theory |date=1999 |publisher=Hindustan Book Agency |location=New Delhi |isbn=9788185931227 |oclc=468606720}}
• {{cite book |last1=Marcolli |first1=Matilde |last2=Manin |first2=Jurij Ivanovič |title=Arithmetic Noncommutative Geometry |date=2005 |publisher=American Mathematical Society |isbn=9780821838334 |url=https://books.google.com/books?id=Ar4FCAAAQBAJ}}
• {{cite book |last1=Connes |first1=Alain |last2=Marcolli |first2=Matilde |title=Noncommutative Geometry, Quantum Fields and Motives |publisher=American Mathematical Society |isbn=9780821874783 |url=https://books.google.com/books?id=a6PdFik-a9QC |date=2008}}
• {{cite book |last1=Marcolli |first1=Matilde |title=Feynman Motives |date=2010 |publisher=World Scientific |isbn=9789814271202 |url=https://books.google.com/books?id=88BpDQAAQBAJ |location=Singapore}}
• {{cite book |last1=Matilde |first1=Marcolli |title=Noncommutative Cosmology |date=2017 |publisher=World Scientific |location=Singapore |isbn=9789813202863 |url=https://books.google.com/books?id=iYRIDwAAQBAJ}}
• {{cite book | last=Marcolli | first=Matilde | title=Lumen Naturae: Visions of the Abstract in Art and Mathematics | date=2020 | publisher=MIT Press | isbn=9780262043908 | title-link=Lumen Naturae}}Reviews of Lumen Naturae:
• {{cite web | last = Bultheel | first = Adhemar | author-link = Adhemar Bultheel | date = August 31, 2020 | publisher = European Mathematical Society | title = Review | url = https://euro-math-soc.eu/review/lumen-naturae}}
• {{cite journal | last = Campbell | first = Paul J. | date = January 2021 | doi = 10.1080/0025570x.2021.1850138 | issue = 1 | journal = Mathematics Magazine | pages = 79–80 | title = Reviews | volume = 94 | zbl = 1464.00005}}
• {{cite journal | last = Garcia | first = Stephan Ramon | author-link = Stephan Ramon Garcia | date = September 2021 | issue = 8 | journal = Notices of the American Mathematical Society | page = 1348 | title = AMS Bookshelf | url = https://www.ams.org/journals/notices/202108/rnoti-p1348.pdf | volume = 68}}
• {{cite journal | last = McRae | first = Alan S. | journal = MathSciNet | mr = 4233978 | title = none}}
• {{cite journal | last = Pambuccian | first = Victor V. | journal = zbMATH | title = none | zbl = 1460.00030}}
• {{cite journal | last = Saunders | first = Peter | issue = 492 | journal = Newsletter of the London Mathematical Society | pages = 43–44 | title = Reviews | url = https://www.lms.ac.uk/sites/lms.ac.uk/files/files/NLMS_492_for_web.pdf | volume = 2021 | year = 2021 | zbl = 1478.00014}}

• {{cite book |editor1-last=Hertling |editor1-first=Claus |editor2-last=Marcolli |editor2-first=Matilde |title=Frobenius Manifolds : Quantum Cohomology and Singularities |date=2003 |publisher=Vieweg-Teubner Verlag |isbn=978-3-322-80238-5}}
• {{cite book |editor1-last=Consani |editor1-first=Caterina |editor2-last=Marcolli |editor2-first=Matilde |editor1-link=Caterina Consani |title=Noncommutative geometry and number theory : where arithmetic meets geometry and physics |date=2006 |publisher=Vieweg-Teubner Verlag |isbn=978-3-8348-0170-8 |edition=1st}}
• {{cite book |last1=Albeverio |first1=Sergio |last2=Marcolli |first2=Matilde |last3=Paycha |first3=Sylvie |last4=Plazas |first4=Jorge |title=Traces in Number Theory, Geometry and Quantum Fields |date=2008 |publisher=Vieweg+Teubner Verlag |isbn=9783834803719 |url=https://books.google.com/books?id=7wMRuAT_q70C }}
• {{cite book |last1=Khalkhali |first1=Masoud |last2=Marcolli |first2=Matilde |title=An Invitation to Noncommutative Geometry |date=2008 |publisher=World Scientific |isbn=9789812706164 |url=https://books.google.com/books?id=VLHimAEACAAJ}}
• {{cite book |last1=Ceyhan |first1=Özgür |last2=Manin |first2=Yu I. |last3=Marcolli |first3=Matilde |title=Arithmetic and Geometry Around Quantization |date=2010 |publisher=Springer |isbn=9780817648312 |url=https://books.google.com/books?id=dk70bLa2hboC}}
• {{cite book |last1=Abbaspour |first1=Hossein |last2=Marcolli |first2=Matilde |last3=Tradler |first3=Thomas |title=Deformation spaces : perspectives on algebro-geometric moduli |date=2010 |publisher=Vieweg+Teubner |isbn=978-3-8348-1271-1 |url=https://www.springer.com/gp/book/9783834812711}}
• {{cite book |last1=Marcolli |first1=Matilde |last2=Parashar |first2=Deepak |title=Quantum groups and noncommutative spaces perspectives on quantum geometry: a publication of the Max-Planck-Institute for Mathematics, Bonn |date=2011 |publisher=Vieweg + Teubner |isbn=9783834814425 |oclc=793144094}}

;Citations

{{Reflist}}

;Sources

{{columns-list|colwidth=30em|

• {{Cite journal|last1=Carey|first1=A. L.|last2=Marcolli|first2=M.|last3=Wang|first3=B. L.|date=April 2003|title=The Geometric Triangle for 3-dimensional Seiberg–witten Monopoles|journal=Communications in Contemporary Mathematics|language=en|volume=05|issue=2|pages=197–250|doi=10.1142/s0219199703000975|arxiv=math/9907065|s2cid=16472497}}
• {{Cite journal|last1=Aluffi|first1=Paolo|last2=Marcolli|first2=Matilde|date=2009|title=Feynman motives of banana graphs|journal=Communications in Number Theory and Physics|language=EN|volume=3|issue=1|pages=1–57|doi=10.4310/cntp.2009.v3.n1.a1|arxiv=0807.1690|s2cid=13693830}}
• {{Cite journal|last1=Aluffi|first1=Paolo|last2=Marcolli|first2=Matilde|date=2010|title=Parametric Feynman integrals and determinant hypersurfaces|journal=Advances in Theoretical and Mathematical Physics|language=EN|volume=14|issue=3|pages=911–964|doi=10.4310/atmp.2010.v14.n3.a5|arxiv=0901.2107|s2cid=5837709}}
• M.Marcolli, Motivic renormalization and singularities to appear in "Quanta of Maths, in honor of Alain Connes" Clay Mathematical Institute, 2010.
• {{Cite journal|last=Marcolli|first=Matilde|date=2008|title=Solvmanifolds and noncommutative tori with real multiplication|journal=Communications in Number Theory and Physics|language=EN|volume=2|issue=2|pages=421–476|doi=10.4310/cntp.2008.v2.n2.a4|doi-access=free}}
• {{cite book|last1=Manin|first1=Yuri I.|pages=189–238|publisher=Cambridge University Press|language=en|doi=10.1017/cbo9780511543371.012|isbn=9780511543371|last2=Marcolli|first2=Matilde|title=Modular Forms on Schiermonnikoog|year=2008|citeseerx=10.1.1.240.9146|s2cid=118448256 }}
• {{Cite journal|last1=Consani|first1=Caterina|last2=Marcolli|first2=Matilde|date=April 2007|title=Quantum statistical mechanics over function fields|journal=Journal of Number Theory|volume=123|issue=2|pages=487–528|doi=10.1016/j.jnt.2006.12.002|arxiv=math/0607363|s2cid=6463392}}
• {{cite book|last1=Connes|first1=Alain|chapter=The Weil Proof and the Geometry of the Adelès Class Space|date=2009|title=Algebra, Arithmetic, and Geometry|pages=339–405|publisher=Birkhäuser Boston|language=en|doi=10.1007/978-0-8176-4745-2_8|isbn=9780817647445|last2=Consani|first2=Caterina|last3=Marcolli|first3=Matilde|series=Progress in Mathematics |volume=269 |arxiv=math/0703392|s2cid=6527362}}
• {{Cite journal|last1=Connes|first1=Alain|last2=Consani|first2=Caterina|last3=Marcolli|first3=Matilde|date=October 2007|title=Noncommutative geometry and motives: The thermodynamics of endomotives|journal=Advances in Mathematics|volume=214|issue=2|pages=761–831|doi=10.1016/j.aim.2007.03.006|doi-access=free|arxiv=math/0512138|s2cid=6255128}}
• {{Cite journal|last1=Connes|first1=Alain|last2=Marcolli|first2=Matilde|last3=Ramachandran|first3=Niranjan|date=2005-12-28|title=KMS states and complex multiplication|journal=Selecta Mathematica|language=en|volume=11|issue=3–4|pages=325–347|doi=10.1007/s00029-005-0013-x|arxiv=math/0501424|bibcode=2005math......1424C|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.
• {{Cite journal|last1=Consani|first1=Caterina|last2=Marcolli|first2=Matilde|date=August 2004|title=Noncommutative geometry, dynamics, and ∞-adic Arakelov geometry|journal=Selecta Mathematica|language=en|volume=10|issue=2|pages=167–251|doi=10.1007/s00029-004-0369-3|citeseerx=10.1.1.239.9156|s2cid=51793790}}
• {{Cite journal|last=Marcolli|first=Matilde|date=February 2003|title=Limiting modular symbols and the Lyapunov spectrum|journal=Journal of Number Theory|volume=98|issue=2|pages=348–376|doi=10.1016/s0022-314x(02)00044-6|doi-access=free|arxiv=math/0111093}}
• {{Cite journal|last1=Manin|first1=Yuri I.|last2=Marcolli|first2=Matilde|date=2001|title=Holography principle and arithmetic of algebraic curves|journal=Advances in Theoretical and Mathematical Physics|language=EN|volume=5|issue=3|pages=617–650|doi=10.4310/atmp.2001.v5.n3.a6|doi-access=free|arxiv=hep-th/0201036}}
• {{Cite journal|last1=Manin|first1=Y. I.|last2=Marcolli|first2=M.|date=2002-09-01|title=Continued fractions, modular symbols, and noncommutative geometry|journal=Selecta Mathematica |series=New Series|language=en|volume=8|issue=3|pages=475–521|doi=10.1007/s00029-002-8113-3|citeseerx=10.1.1.239.20|s2cid=17383784}}
• {{Cite journal|last1=Kolodrubetz|first1=Daniel|last2=Marcolli|first2=Matilde|date=September 2010|title=Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology|journal=Physics Letters B|volume=693|issue=2|pages=166–174|doi=10.1016/j.physletb.2010.08.018|arxiv=1006.4000|bibcode=2010PhLB..693..166K|s2cid=1030713}}

}}

{{wikiquote}}

• {{MathGenealogy|36888}}
• [http://www.its.caltech.edu/~matilde/ Homepage at Caltech]
• [http://www.math.fsu.edu/~marcolli/ Homepage at FSU]
• [https://arxiv.org/find/grp_math/1/au:+marcolli/0/1/0/all/0/1?skip=0&query_id=985d6ec94127fa82/ Papers on the eprints ArXiv]

{{Authority control}}

{{DEFAULTSORT:Marcolli, Matilde}}

Category:Florida State University faculty

Category:Living people

Category:1969 births

Category:Italian mathematicians

Category:Italian women physicists

Category:Italian women scientists

Category:University of Milan alumni

Category:University of Chicago alumni

Category:Massachusetts Institute of Technology School of Science faculty

Category:Italian women mathematicians