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  5. Professor Yang-Hui He
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Professor Yang-Hui He

Professor of Mathematics

School of Science and TechnologyDepartment of Mathematics

Contact details

  • +44 (0)20 7040 3628
  • yang-hui.he.1@city.ac.uk
  • hey@maths.ox.ac.uk

Address

Professor Yang-Hui He E233, Drysdale Building
City, University of London
Northampton Square
London EC1V 0HB
United Kingdom

Personal links

  • google scholar
  • Inspire publications
  • About
  • Research
  • Publications
  • Professional activities

About

Overview

Professor Yang-Hui He is a mathematical physicist working on the interface between geometry, number theory and quantum field theory/string theory. Recently, he helped introduce machine-learning into the field of pure mathematics by using AI to help uncover new patterns and raise new conjectures (cf. interview by Science [Vol 365, July, 2019] and by New Scientist [Dec 9 Issue, 2019]).

Yang studied at Princeton University, where he received his Bachelor of Arts in Physics, with a Certificate in Applied Mathematics and a Certificate in Engineering, Summa cum Laude (Highest Honours, Phi-Beta-Kappa). He then obtained a Certificate in Advanced Mathematics (Tripos) at the University of Cambridge, with Distinction. He went on to receive his PhD in theoretical and mathematical physics from MIT. Yang continued with postdoctoral work in the University of Pennsylvania before joining University of Oxford as the FitzJames Fellow in Mathematics and then the UK STFC Advanced Fellow in theoretical physics.

Yang joined City in 2010 as Reader. He is currently Professor of Mathematics. He concurrently holds the Chang-Jiang Chair Professorship at NanKai University, China and jointly remains a Tutor and Lecturer at Merton College, Oxford where he taught since 2005. In 2021, he became Fellow of the London Institute of Mathematical Sciences at the Royal Institution, and is thus splitting his time:

https://lims.ac.uk/profile/?id=102

Qualifications

  1. PhD, Massachusetts Institute of Technology, United States, Sep 1997 – Jun 2002
  2. Masters (Tripos) with Distinction, University of Cambridge, United Kingdom, Oct 1996 – Jul 1997
  3. Bachelors, Princeton University, United States, Sep 1992 – Sep 1996

Employment

  1. Honorary Consultant, UK-Tsingdao FinTech Incubator, Oct 2106 – present
  2. Director and Trustee, STEMM Global, Oct 2021 – present
  3. Fellow, London Institute for Mathematical Sciences, Oct 2021 – present
  4. Professor of Mathematics, City, University of London, Sep 2014 – present
  5. Changjiang Chair Professor of Physics & Qian-Ren Scholar, Nankai University, Sep 2010 – present
  6. Tutor and Quondam Socius, University of Oxford, Oct 2005 – present

Languages

Chinese (Mandarin) (can read, write, speak, understand spoken and peer review) and French (can read, write and peer review).

Research

Yang is a mathematical physicist working on various interfaces between geometry and theoretical high energy physics. He is particularly interested in aspects of algebraic geometry in application to, and interacting with, gauge theory as well as string theory, such as Calabi-Yau manifolds, holographic correspondences and string phenomenology. He also has interests in the dialogue between number theory, graph representation theory and gauge theories.

Publications

Featured publications

  1. He, Y.-.H. (2017). Machine-learning the string landscape. Physics Letters B, 774, pp. 564–568. doi:10.1016/j.physletb.2017.10.024.
  2. Gao, P., He, Y.-.H. and Yau, S.-.T. (2015). Extremal Bundles on Calabi–Yau Threefolds. Communications in Mathematical Physics, 336(3), pp. 1167–1200. doi:10.1007/s00220-014-2271-y.

Publications by category

Books (3)

  • He, Y.-.H. (2021). The Calabi–Yau Landscape. Springer International Publishing. ISBN 978-3-030-77561-2.
  • Yang, C.N., Ge, M.-.L. and He, Y.-.H. (2018). Topology and Physics. World Scientific Publishing Company. ISBN 978-981-327-849-3.
  • He, Y.-.H., Candelas, P., Hanany, A., Lukas, A. and Ovrut, B. (2012). Computational Algebraic Geometry in String and Gauge Theory.

Chapters (9)

  • He, Y.-.H. (2021). Machine-Learning the Landscape. The Calabi–Yau Landscape (pp. 87–130). Springer International Publishing. ISBN 978-3-030-77561-2.
  • He, Y.-.H. (2021). Postscriptum. The Calabi–Yau Landscape (pp. 131–131). Springer International Publishing. ISBN 978-3-030-77561-2.
  • He, Y.-.H. (2021). The Compact Landscape. The Calabi–Yau Landscape (pp. 19–58). Springer International Publishing. ISBN 978-3-030-77561-2.
  • He, Y.-.H. (2021). Prologus Terræ Sanctæ. The Calabi–Yau Landscape (pp. 1–18). Springer International Publishing. ISBN 978-3-030-77561-2.
  • He, Y.-.H. (2021). The Non-Compact Landscape. The Calabi–Yau Landscape (pp. 59–85). Springer International Publishing. ISBN 978-3-030-77561-2.
  • HE, Y.-.H. (2013). BIPARTITA: PHYSICS, GEOMETRY & NUMBER THEORY. Symmetries and Groups in Contemporary Physics (pp. 321–326). WORLD SCIENTIFIC.
  • Ashmore, A. and He, Y.-.H. (2011). Calabi-Yau Three-folds: Poincare Polynomials and Fractals. Strings, Gauge Fields, and the Geometry Behind: The Legacy of Maximilian Kreuzer (pp. 173–186). ISBN 978-981-4412-54-4.
  • He, Y., Feng, B. and Hanany, A. (2004). Horizons in world physics. In Lynch, T.V. (Ed.), Horizons in world physics Nova Science Pub Inc. ISBN 978-1-59454-063-9.
  • He, Y., Feng, B. and Hanany, A. (2000). Z-D Brane Box Models and Non-Chiral Dihedral Quivers. In Golfand, Y. and Shifman, M.A. (Eds.), The many faces of the superworld (pp. 280–306). World Scientific Pub Co Inc. ISBN 978-981-02-4206-0.

Conference papers and proceedings (3)

  • Osudin, D., Child, C. and He, Y.-.H. (2019). Rendering Non-Euclidean Space in Real-Time Using Spherical and Hyperbolic Trigonometry.
  • Braun, V., He, Y.H., Ovrut, B. and Pantey, T. (2006). A heterotic standard model and the cosmological constant.
  • He, Y.-.H. (2001). D-BRANE GAUGE THEORY AND TORIC SINGULARITIES.

Journal articles (172)

  • Bao, J., He, Y.-.H., Hirst, E., Hofscheier, J., Kasprzyk, A. and Majumder, S. (2022). Hilbert series, machine learning, and applications to physics. Physics Letters B, 827. doi:10.1016/j.physletb.2022.136966.
  • Ashmore, A., Deen, R., He, Y.-.H. and Ovrut, B.A. (2022). Machine learning line bundle connections. Physics Letters B, 827. doi:10.1016/j.physletb.2022.136972.
  • Bao, J., Hanany, A., He, Y.-.H. and Hirst, E. (2022). Some open questions in quiver gauge theory. Proyecciones (Antofagasta), 41(2), pp. 355–386. doi:10.22199/issn.0717-6279-5274.
  • Berman, D.S., He, Y.-.H. and Hirst, E. (2022). Machine learning Calabi-Yau hypersurfaces. Physical Review D, 105(6). doi:10.1103/physrevd.105.066002.
  • Deen, R., He, Y.-.H., Lee, S.-.J. and Lukas, A. (2022). Machine learning string standard models. Physical Review D, 105(4). doi:10.1103/physrevd.105.046001.
  • de Mello Koch, R., He, Y.-.H., Kemp, G. and Ramgoolam, S. (2022). Integrality, duality and finiteness in combinatoric topological strings. Journal of High Energy Physics. doi:10.1007/jhep01(2022)071.
  • He, Y.-.H., Lee, K.-.H. and Oliver, T. (2021). Machine-learning the Sato–Tate conjecture. Journal of Symbolic Computation, 111, pp. 61–72. doi:10.1016/j.jsc.2021.11.002.
  • He, Y.-.H. (2021). Universes as big data. International Journal of Modern Physics A, 36(29). doi:10.1142/s0217751x21300179.
  • Chen, H.Y., He, Y.H., Lal, S. and Majumder, S. (2021). Machine learning Lie structures & applications to physics. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 817. doi:10.1016/j.physletb.2021.136297.
  • Argyriadis, J.-.A., He, Y.-.H., Jejjala, V. and Minic, D. (2021). Dynamics of genetic code evolution: The emergence of universality. Physical Review E, 103(5). doi:10.1103/physreve.103.052409.
  • Dechant, P.-.P. and He, Y.-.H. (2021). Machine-learning a virus assembly fitness landscape. PLOS ONE, 16(5). doi:10.1371/journal.pone.0250227.
  • Bao, J., Foda, O., He, Y.-.H., Hirst, E., Read, J., Xiao, Y. … Yagi, F. (2021). Dessins d’enfants, Seiberg-Witten curves and conformal blocks. Journal of High Energy Physics, 2021(5). doi:10.1007/jhep05(2021)065.
  • He, Y.-.H. and Lukas, A. (2021). Machine learning Calabi-Yau four-folds. Physics Letters B, 815, pp. 136139–136139. doi:10.1016/j.physletb.2021.136139.
  • He, Y.-.H., Hirst, E. and Peterken, T. (2021). Machine-learning dessins d’enfants: explorations via modular and Seiberg–Witten curves. Journal of Physics A: Mathematical and Theoretical, 54(7), pp. 75401–75401. doi:10.1088/1751-8121/abbc4f.
  • Bao, J., He, Y.-.H. and Xiao, Y. (2021). Chiral rings, Futaki invariants, plethystics, and Gröbner bases. Journal of High Energy Physics, 2021(1). doi:10.1007/jhep01(2021)203.
  • Tatitscheff, V., He, Y.-.H. and McKay, J. (2020). Cusps, congruence groups and Monstrous dessins. Indagationes Mathematicae, 31(6), pp. 1015–1065. doi:10.1016/j.indag.2020.09.005.
  • Bao, J., Franco, S., He, Y.-.H., Hirst, E., Musiker, G. and Xiao, Y. (2020). Quiver mutations, Seiberg duality, and machine learning. Physical Review D, 102(8). doi:10.1103/physrevd.102.086013.
  • Ashmore, A., He, Y. and Ovrut, B.A. (2020). Machine Learning Calabi–Yau Metrics. Fortschritte der Physik, 68(9), pp. 2000068–2000068. doi:10.1002/prop.202000068.
  • Bao, J., Colverd, G.B. and He, Y.-.H. (2020). Quiver gauge theories: beyond reflexivity. Journal of High Energy Physics, 2020(6). doi:10.1007/jhep06(2020)161.
  • Vidunas, R. and He, Y.-.H. (2020). Genus one Belyi maps by quadratic correspondences. International Journal of Mathematics, 31(05), pp. 2050034–2050034. doi:10.1142/s0129167x20500342.
  • He, Y.-.H. and Lee, S.-.J. (2019). Distinguishing elliptic fibrations with AI. Physics Letters B, 798, pp. 134889–134889. doi:10.1016/j.physletb.2019.134889.
  • Xiao, Y., He, Y.-.H. and Matti, C. (2019). Standard model plethystics. Physical Review D, 100(7). doi:10.1103/physrevd.100.076001.
  • Bull, K., He, Y.-.H., Jejjala, V. and Mishra, C. (2019). Getting CICY high. Physics Letters B, 795, pp. 700–706. doi:10.1016/j.physletb.2019.06.067.
  • He, Y.H., Jejjala, V., Pontiggia, L., Xiao, Y. and Zhou, D. (2019). Flatness of minima in random inflationary landscapes. International Journal of Modern Physics A, 34(17). doi:10.1142/S0217751X19500842.
  • Constantin, A., He, Y.H. and Lukas, A. (2019). Counting string theory standard models. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 792, pp. 258–262. doi:10.1016/j.physletb.2019.03.048.
  • He, Y.-.H. (2018). Quiver Gauge Theories: Finitude and Trichotomoty. Mathematics, 6(12), pp. 291–291. doi:10.3390/math6120291.
  • Bull, K., He, Y.-.H., Jejjala, V. and Mishra, C. (2018). Machine learning CICY threefolds. Physics Letters B, 785, pp. 65–72. doi:10.1016/j.physletb.2018.08.008.
  • Bourjaily, J.L., He, Y.-.H., McLeod, A.J., von Hippel, M. and Wilhelm, M. (2018). Traintracks through Calabi-Yau Manifolds: Scattering Amplitudes beyond Elliptic Polylogarithms. Physical Review Letters, 121(7). doi:10.1103/physrevlett.121.071603.
  • He, Y.-.H., Seong, R.-.K. and Yau, S.-.T. (2018). Calabi–Yau Volumes and Reflexive Polytopes. Communications in Mathematical Physics, 361(1), pp. 155–204. doi:10.1007/s00220-018-3128-6.
  • Vidunas, R. and He, Y.H. (2018). Composite genus one Belyi maps. Indagationes Mathematicae, 29(3), pp. 916–947. doi:10.1016/j.indag.2018.02.001.
  • He, Y.-.H., Hu, Z., Probst, M. and Read, J. (2018). Yang–Mills theory and the ABC conjecture. International Journal of Modern Physics A, 33(13), pp. 1850053–1850053. doi:10.1142/s0217751x18500537.
  • Altman, R., He, Y.-.H., Jejjala, V. and Nelson, B.D. (2018). New large volume Calabi-Yau threefolds. Physical Review D, 97(4). doi:10.1103/physrevd.97.046003.
  • Bond, R.L., He, Y.H. and Ormerod, T.C. (2018). A quantum framework for likelihood ratios. International Journal of Quantum Information, 16(1). doi:10.1142/S0219749918500028.
  • He, Y.-.H., Jejjala, V. and Pontiggia, L. (2017). Patterns in Calabi–Yau Distributions. Communications in Mathematical Physics, 354(2), pp. 477–524. doi:10.1007/s00220-017-2907-9.
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  • Ellwood, I., Feng, B., He, Y.H. and Moeller, N. (2001). The identity string field and the tachyon vacuum. Journal of High Energy Physics, 5(7), pp. 1–22. doi:10.1088/1126-6708/2001/07/016.
  • Feng, B., Hanany, A., He, Y.H. and Prezas, N. (2001). Discrete torsion, non-abelian orbifolds and the Schur multiplier. Journal of High Energy Physics, 5(1). doi:10.1088/1126-6708/2001/01/033.
  • Feng, B., Hanany, A., He, Y.H. and Uranga, A.M. (2001). Toric duality as seiberg duality and brane diamonds∗. Journal of High Energy Physics, 5(12), pp. 1–28. doi:10.1088/1126-6708/2001/12/035.
  • Feng, B., Hanany, A. and He, Y.H. (2001). Phase structure of d-brane gauge theories and toric duality. Journal of High Energy Physics, 5(8), pp. 1–24. doi:10.1088/1126-6708/2001/08/040.
  • Feng, B., Hanany, A., He, Y.H. and Prezas, N. (2001). Discrete torsion, covering groups and Quiver diagrams. Journal of High Energy Physics, 5(4). doi:10.1088/1126-6708/2001/04/037.
  • Feng, B., He, Y.H., Karch, A. and Uranga, A.M. (2001). Orientifold dual for stuck ns5 branes. Journal of High Energy Physics, 5(6), pp. 1–26. doi:10.1088/1126-6708/2001/06/065.
  • Feng, B. and He, Y.-.H. (2000). An Observation on finite groups and WZW modular invariants. .
  • He, Y.-.H. and Song, J.S. (2000). Of McKay correspondence, nonlinear sigma model and conformal field theory. Adv.Theor.Math.Phys., 4, pp. 747–790.
  • He, Y.-.H. and Song, J.S. (2000). Of McKay correspondence, non-linear sigma-model and conformal field theory. Advances in Theoretical and Mathematical Physics, 4(4), pp. 747–789. doi:10.4310/atmp.2000.v4.n4.a1.
  • Feng, B., Hanany, A. and He, Y.H. (1999). The Z(k) x D-k' brane box model. JOURNAL OF HIGH ENERGY PHYSICS, (9).
  • He, Y.-.H. (1999). Some remarks on the finitude of quiver theories. In.J.Math.Math.Sci..
  • Feng, B., Hanany, A. and He, Y.-.H. (1999). Z - D-brane box models and nonchiral dihedral quivers. .
  • Feng, B., Hanany, A. and He, Y.-.H. (1999). The Z(k) x D(k-prime) brane box model. JHEP, 9909, pp. 11–11. doi:10.1088/1126-6708/1999/09/011.
  • Hanany, A. and He, Y.-.H. (1999). NonAbelian finite gauge theories. JHEP, 9902, pp. 13–13. doi:10.1088/1126-6708/1999/02/013.
  • Feng, B., Hanany, A. and He, Y.H. (1999). The Zk × Dk′ brane box model. Journal of High Energy Physics, 3(9). doi:10.1088/1126-6708/1999/09/011.
  • Hanany, A. and He, Y.H. (1999). Non-abelian finite gauge theories. Journal of High Energy Physics, 3(2). doi:10.1088/1126-6708/1999/02/013.
  • He, G.W., Acuff, T.E., Ryan, W.H., He, Y.H. and Mack, M.J. (1996). Influence of old age, gender, and internal mammary artery grafting on operative mortality and morbidity in coronary artery bypass grafting. American Journal of Geriatric Cardiology, 5(6), pp. 22–35.
  • He, G.-.W., Acuff, T.E., Ryan, W.H., He, Y.-.H. and Mack, M.J. (1995). Determinants of operative mortality in reoperative coronary artery bypass grafting. The Journal of Thoracic and Cardiovascular Surgery, 110(4), pp. 971–978. doi:10.1016/s0022-5223(05)80164-3.
  • He, G.-.W., Acuff, T.E., Ryan, W.H., Douthit, M.B., Bowman, R.T., He, Y.-.H. … Mack, M.J. (1994). Aortic valve replacement: Determinants of operative mortality. The Annals of Thoracic Surgery, 57(5), pp. 1140–1146. doi:10.1016/0003-4975(94)91344-7.
  • Argyriadis, J.-.A., He, Y.-.H., Jejjala, V. and Minic, D. Dynamics of genetic code evolution: The emergence of universality. . doi:10.1101/779959.

Software

  • He, Y., Gray, J., Ilderton, A. and Lukas, A. STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology. Comput.Phys.Commun. 180 (2009) 107-119.

Professional activities

Editorial activity (3)

  1. Editor, The Scientific World Journal.
  2. Editor in Chief, Journal of Modern Physics,.
  3. Lead guest Editor, Advances in High Energy Physics.

Keynote lectures/speeches (19)

  1. Tsinghua Centre for Mathematics, Sanya, China. Sanya (2018). Workshop on SUSY gauge theories in various dimensions
  2. 10th Annual Taiwan Strings. Taiwan (2017). Keynote Speaker
  3. Northern British Math/Phys Symposium. York (2017).
  4. Seminaire ``Fables Geometriques''. University of Geneva (2017).
  5. Grothendieck-Techmuller Theory Workshop. Chern Institute (2016). Plenary Speaker
  6. Oberwolfach Workshop. Oberwolfach (2016). Invited Speaker
  7. Chinese Academy of Science Colloquium. (2016).
  8. ICMS Public Lecture, ICMS, Edinburgh. Edinburgh Maxwell Centre (2014).
  9. US Airforce Academy Special Colloquium. US Airforce Academy (2013). Physics Colloquium
  10. University of Hannover. Hannover (2013). Invited Lecture Series
  11. number theory and physics. Nankai, China (2011). First invite speaker: Graduate Symposium, and Physics Colloquium
  12. Quivers, MSSM and Heterotic string. Dublin (2009). Annual Irish QFT Meeting, keynote lecturer
  13. Intro to Superstrings. Beijing (2008). Peking University, Special Lecture Series
  14. Quivers and Plethystics. Hong Kong (2008). Frontiers of Geometry Conference, Hong Kong, special invited speaker
  15. To Macaulay2: A Wishlist from Physics. Cornell (2008). Computational Algebraic Geometry Conference
  16. D-branes, Gauge Theories and Calabi-Yau
    Singularities.
    BeiJing, China (2004). Chinese Academy of Sciences, Special Lecture Series
  17. strings. (2004). US. Airforce Academy Phyics Colloquium and Dinstinguished Lecture series
  18. Muss Es Sein
    - Epigraph to a String Quartet.
    Virginia (2003). Virginia Tech Physics Colloquium:
  19. Quiver and D-Branes. Hong Kong (2002). HK Geometry Symposium

Online articles (3)

  1. New Scientist feature 2019. (2019). New Scientist
  2. Science Interview. (2019). Science
  3. . (2008). New Scientist http://www.newscientist.com/article/mg19726370.100-string-theory-may-predict-our-universe-after-all.html

Radio programmes (2)

  1. A dialogue between faith and reason. New Jersey Catholic Radio On religion and science
  2. Allegretto. https://twitter.com/AllegrettoFM

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