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  2. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=51
    18 Jul 2024: O Randal-Williams. – Selecta Mathematica, New Series. (2017). 24,. 1453. (doi: 10.1007/s00029-017-0311-0).
  3. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=17
    18 Jul 2024: 2021). 24,. 3215. (doi: 10.4171/jems/1159). Symmetric power functoriality for holomorphic modular forms.
  4. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=70
    18 Jul 2024: Combinatorics Probability Computing. (2014). 24,. 480. (doi: 10.1017/s0963548314000510). Unconditional structures of translates for L.
  5. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=183
    18 Jul 2024: GUT. (1983). 24,. A988. (link to publication). THE BEHAVIOR OF POWER-SERIES ON THEIR CIRCLE OF CONVERGENCE.
  6. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=22
    18 Jul 2024: 2021). 24,. 3. (doi: 10.1007/s11040-021-09373-7). Manifolds and Groups. C Löh, O Randal-Williams, T Schick. –
  7. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=167
    18 Jul 2024: COMPUTING SCIENCE AND STATISTICS : VOL 24. (1992). 439. (link to publication).
  8. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=43
    18 Jul 2024: doi: 10.48550/arxiv.1805.11976). Degressive Representation of Member States in the European Parliament 2019–24.
  9. Wendelin Werner's webpage

    https://www.dpmms.cam.ac.uk/~ww295/
    21 Jun 2024: In 2023-24, I gave a Part III course on "lattice models" in the 2023 Michaelmas Term.
  10. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=136
    18 Jul 2024: I Kontoyiannis, AD Sezer. (2003). 56,. 23. (doi: 10.1007/978-3-0348-8069-5_3). Chapter 24 Ramsey Methods in Banach Spaces.
  11. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=50
    18 Jul 2024: Electronic Journal of Combinatorics. (2017). 24,. ARTN P1.61. (doi: 10.37236/6299).
  12. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=64
    18 Jul 2024: Communications in Analysis and Geometry. (2016). 24,. 93. (doi: 10.4310/cag.2016.v24.n1.a4).
  13. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=32
    18 Jul 2024: MR Tehranchi. – Finance and Stochastics. (2019). 24,. 1. (doi:…. 33. ….
  14. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=171
    18 Jul 2024: 1991). 24,. 275. DOUBLE-INLET VENTRICLE PRESENTING IN INFANCY. 3. OUTCOME AND POTENTIAL FOR DEFINITIVE REPAIR.
  15. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=123
    18 Jul 2024: 2006). 48,. 24. …. 124. …. Department of Pure Mathematics and Mathematical Statistics.
  16. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=141
    18 Jul 2024: O Johnson, Y Suhov. – 24. (2001). 3,. 1. (link to publication).
  17. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=15
    18 Jul 2024: 2022). 24,. 2191. (doi: 10.4171/JEMS/1136). Brownian snails with removal: epidemics in diffusing populations.
  18. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=21
    18 Jul 2024: Journal of Risk Research. (2021). 24,. 294. (doi: 10.1080/13669877.2021.1890637). Independence of l for Frobenius conjugacy classes attached to abelian varieties.
  19. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=33
    18 Jul 2024: MR Tehranchi. – Finance and Stochastics. (2019). 24,. 1. (doi: 10.1007/s00780-019-00410-6).
  20. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=46
    18 Jul 2024: The Electronic Journal of Combinatorics. (2017). 24,. ARTN P4.38. (doi: 10.37236/6577).
  21. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=63
    18 Jul 2024: 24,. 763. (doi: 10.5802/afst.1463). Comment. RD Shah, RJ Samworth. – Journal of the American Statistical Association.
  22. Jack Thorne

    https://www.dpmms.cam.ac.uk/~jat58/
    17 May 2024: q. (X) with two marked points. Documenta Math. 24 (2019), pp.
  23. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=175
    18 Jul 2024: Progrès dans les recherches sur le cancer. (1988). 111,. 195. (doi: 10.1007/978-3-642-83419-6_24).
  24. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=127
    18 Jul 2024: 48,. 24. (doi: 10.1214/074921706000000040). Symplectic Four‐Manifolds and Conformal Blocks. I Smith. –
  25. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=39
    18 Jul 2024: 2019). 24,. 1179. (doi: 10.25537/dm.2019v24.1179-1223). Khovanov homology from Floer cohomology. I Smith, M Abouzaid. –
  26. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=41
    18 Jul 2024: 24,. 2429. (doi: 10.3150/17-bej933). Recent Progress in Log-Concave Density Estimation. RJ Samworth. –
  27. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=122
    18 Jul 2024: IEEE J. Sel. Areas Commun. (2006). 24,. 1034. (doi: 10.1109/jsac.2006.872885).
  28. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=23
    18 Jul 2024: Nature Communications. (2020). 11,. 6377. (doi:…. 24. …. Department of Pure Mathematics and Mathematical Statistics.
  29. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=130
    18 Jul 2024: 2004). 24,. 659. (doi: 10.1017/s0143385704000033). Come the revolution - Network dimensioning, service costing and pricing in a packet switched environment.
  30. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=129
    18 Jul 2024: Stat Med. (2004). 24,. 1185. (doi: 10.1002/sim.1970). Entropy and collapsing of compact complex surfaces.
  31. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=105
    18 Jul 2024: 2008). 25,. 245009. (doi: 10.1088/0264-9381/25/24/245009). Fairness of financial penalties to improve control of Clostridium difficile.
  32. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=101%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    18 Jul 2024: 24,. 159. (doi: 10.3934/dcds.2009.24.159). Lossy Compression in Near-Linear Time via Efficient Random Codebooks and Databases.
  33. The geometry of the Humbert surface of discriminant N2

    https://www.dpmms.cam.ac.uk/~stf32/slides/humbert_yrant.pdf
    11 Oct 2023: rational if N 16 and N = 18, 20, 24,an elliptic K3 surface if N = 17,. ... of general type if N 22 and N 6= 24. Clearly 21 is missing, it should be κ = 1, but TBC.
  34. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=89%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    18 Jul 2024: V Chulaevsky, AB de Monvel, Y Suhov. – Nonlinearity. (2011). 24,. ... 1451. (doi: 10.1088/0951-7715/24/5/004). An isoperimetric inequality for the Wiener sausage. Y Peres, P Sousi. –
  35. The philosophy of mathematics

    https://www.dpmms.cam.ac.uk/~wtg10/philosophy.html
    20 Sep 2004: Suppose, for example, that f is a complicated function of the positive integers arising from some research problem and that the first ten values it takes are 2, 6, 14, 24,
  36. Pierre RAPHAËL Herchel Smith Professor of Pure MathematicsDepartment …

    https://www.dpmms.cam.ac.uk/files/raphael/cv-complet-2023.pdf
    13 Mar 2023: Amer. Math. Soc. 24 (2011), no. 2, 471546. [32] Lemou, M.; Mehats, F.; Raphaël, P., A new variational approach to the stability of gravitational systems, Comm.Math. ... Vlasov-Poisson system, Ann. Inst. H. Poincaré Anal. Non Lind́eaire 24 (2007), no.
  37. Marcelo’s Discrete Mathematics, Supervision 31 Question 42 Thomas…

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/dddc2.pdf
    1 Jan 2021: gruent pair by n/gcd(m, n)—which is an integer—to obtain another congruent23pair n i and n j.24.
  38. thesis.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/ac.pdf
    5 Jun 2020: nements 19. 2.1 Known Results. 19. 2.2 Allowing Distortion. 24. 2.3 Large Deviations.
  39. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=92%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    18 Jul 2024: 2010). 24,. 471. (doi: 10.1090/s0894-0347-2010-00688-1). Corrigendum to “$2F$-modules, abelian sets of roots and 2-ranks” [J.
  40. Lempel-Ziv and CTW entropy estimators forspike trains Yun GaoDiv. ...

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/lznips.pdf
    2 Apr 2023: plug-inNo. word=20ms Ref. [10] Ĥ H̃1 24.7004 23.1110 22.1769 24.30112 24.7196 23.2915 21.7436 24.07923 24.7087 23.1009 21.9016 ... 53494 24.6937 23.1689 21.8957 24.30825 24.7182 23.2156 21.7458 24.0298.
  41. 17 May 2024: 2, pp. 317-338, July 2020. 24. L. Gavalakis and I. Kontoyiannis.
  42. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=103%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    18 Jul 2024: D Spiegelhalter, H Goldstein. – Statistical Science. (2009). 24,. 21. (doi: 10.1214/09-sts285c).
  43. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=93%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    18 Jul 2024: 2010). 24,. 15. (doi: 10.1080/713819381). Some remarks on James–Schreier spaces. A Bird, NJ Laustsen, A Zsak. –
  44. Lent Term 2024 O. Randal-Williams IB Groups, Rings, and ...

    https://www.dpmms.cam.ac.uk/~or257/teaching/IBGRM/2024/Sheet3.pdf
    11 Jan 2024: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4.
  45. Tautological rings for smooth manifolds

    https://www.dpmms.cam.ac.uk/~or257/slides/Delhi2021.pdf
    30 Nov 2021: 31. R(Σ6) = Q[κ1,κ2]/(127κ31 2304κ1κ2, 113κ41 36864κ22)with κ3 = 52304κ. 31,κ4 =. 573728κ. 41. (and has computed R(Σg) for g < 24).9. Higher dimensions. ... Selecta Math. (N.S.) 24 (2018), no. 4, 3835–3873. D. Baraglia, Tautological
  46. ex2.dvi

    https://www.dpmms.cam.ac.uk/~sjw47/RepTh2.pdf
    22 Feb 2012: g]| 1 21 42 56 24 24α 14 2 0 1 0 0β 15 1 1 0 1 1γ 16 0 0 2 2 2.
  47. Shame.dvi

    https://www.dpmms.cam.ac.uk/~twk10/Shame.pdf
    8 Aug 2021: Page 24 third line. Replace ‘Exercise 2.1.4 (ii)’ by ‘Exercise 2.1.4 (iii)’. ... Page 24 Exercise 2.1.9, first displayed equation should readλa (1 λ)b = λ′a′ (1 λ′)b′.
  48. 30 Aug 2022: sign.Page 53 Exercise 2.4.13, 5th line delete second ‘in’.Page 58 Exercise 2.4.24 First sentence.
  49. VERY BRIEF INTRODUCTION TOSTATISTICAL MODELLING IN RP.M.E.Altham,…

    https://www.dpmms.cam.ac.uk/~pmea/littleintro.pdf
    24 Aug 2010: am.a. ukhttp://www.statslab. am.a. uk/patFIRST CLASS IS MONDAY JAN 24, 2005. YOU NEED TO SIGN UP FORONE OF THE SLOTS 10-11 am, 11-12 noon, 12
  50. 1 Let f : R>0 → C be a ...

    https://www.dpmms.cam.ac.uk/~ajs1005/modular/pf-sample-qns.pdf
    7 May 2020: c) Let = qn1(1 qn)24 =. n1 τ(n)q. n be the normalised cusp form of weight 12.Use the fact that there is no nonzero cusp form of weight
  51. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=87%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    18 Jul 2024: 2011). 24,. 615. (doi: 10.1177/0962280211419832). Statistical model selection. AP Dawid, S Senn.

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