
Maria Ivan
Szego Assistant Professor of Mathematics
Bio
I have been doing mathematics since I was a child, competing in olympiads since I was 10, all the way until university. Whilst getting medals is exciting, the true underlying reason I was doing them was some sort of inexplicable curiosity and the addicting feeling of the Aha! moment. I am originally from a small village in Romania, but that never stopped me from dreaming big. At 14 I earned a scholarship and moved to the capital, Bucharest, in order to attend The International Computer High School of Bucharest (ICHB). I then later completed my BA, my Masters and my PhD in Mathematics at University of Cambridge, St John’s College. After that I became a Research Fellow at Magdalene College and part of the Department of Pure Mathematics and Mathematical Statistics in Cambridge.
My research lies in the area of Combinatorics. Whilst I am interested in lots of aspects of combinatorics, I would like to particularly highlight extremal combinatorics, Ramsey theory and poset saturation. I am always open for discussions about even the smallest seed of idea - to me mathematics is not a job, it is my lifestyle. For example, if a certain problem interests me and ideas are popping into my brain, or naturally flowing in a conversation, I will not stop until I either get stuck, or get the Aha! moment. It is true that sometimes mathematics can come in a scary looking package, but at its core lie gorgeous ideas. As such, I am passionate about teaching too, with the aim of demystifying mathematics and enabling the next generation to see the beauty that I see.
Academic Appointments
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Szego Asst Professor, Mathematics
Honors & Awards
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British Combinatorial Committee PhD Prize (Highly Commended), British Combinatorial Committee (BCC) (July 2024)
Professional Education
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PhD, University of Cambridge, St John's College, Mathematics (Combinatorics) (2023)
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MMath, University of Cambridge, St John's College, Mathematics (2019)
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BSc, University of Cambridge, St John's College, Mathematics (2018)
Current Research and Scholarly Interests
My research lies in the area of combinatorics, with particular focus on Ramsey theory, extremal combinatorics and poset saturation.
All Publications
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Turán densities for daisies and hypercubes
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
2024; 56 (12): 3838-3853
View details for DOI 10.1112/blms.13171
View details for Web of Science ID 001338209800001
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A Polynomial Upper Bound for Poset Saturation
EUROPEAN JOURNAL OF COMBINATORICS
2024
View details for DOI 10.1016/j.ejc.2024.103970
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Small Sets in Union-Closed Families
ELECTRONIC JOURNAL OF COMBINATORICS
2023; 30 (1)
View details for DOI 10.37236/11004
View details for Web of Science ID 000948465500001
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Saturation for Small Antichains
ELECTRONIC JOURNAL OF COMBINATORICS
2023; 30 (1)
View details for DOI 10.37236/11262
View details for Web of Science ID 000948455100001
- Some New Results on Monochromatic Sums and Products in the Rationals NEW YORK JOURNAL OF MATHEMATICS 2023; 29: 301 -- 322
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Constructible graphs and pursuit
THEORETICAL COMPUTER SCIENCE
2022; 930: 196-208
View details for DOI 10.1016/j.tcs.2022.07.023
View details for Web of Science ID 000862840900016
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A Ramsey characterisation of eventually periodic words
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
2022; 54 (6): 2437-2455
View details for DOI 10.1112/blms.12704
View details for Web of Science ID 000823298700001
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Minimal Diamond-Saturated Families
CONTEMPORARY MATHEMATICS
2022; 3 (2): 81-88
View details for DOI 10.37256/cm.3220221333
View details for Web of Science ID 000895881100001
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SATURATION FOR THE BUTTERFLY POSET
MATHEMATIKA
2020; 66 (3): 806-817
View details for DOI 10.1112/mtk.12044
View details for Web of Science ID 000588617300012