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  2. On binary quartics and the Cassels-Tate pairing

    https://www.dpmms.cam.ac.uk/~taf1000/papers/bq-ctp.html
    31 Aug 2022: We use the invariant theory of binary quartics to give a new formula for the Cassels-Tate pairing on the 2-Selmer group of an elliptic curve.
  3. Sam Frengley's Homepage

    https://www.dpmms.cam.ac.uk/~stf32/papers/qttabstract.html
    1 Jul 2022: ns 5. ). As a consequence we obtain a new proof of the class number 1 problem.
  4. I increase the price of an item by 10% ...

    https://www.dpmms.cam.ac.uk/~twk10/Dentist1.pdf
    3 Dec 2022: I increase the price of an item by 10% and then cut 10% off the new price.Is the final price greater, less than or equal to the initial price?
  5. From Flor to Hochschild via matrix frctooisatiars Symplectic Zooming…

    https://www.dpmms.cam.ac.uk/~jes98/Zoominar%20Slides.pdf
    25 Apr 2022: out in out. • New proof of toric generation result. • New generation results outside toric case.
  6. Applied probability, Lent 2022 I. Kontoyiannis, ik355@cam.ac.uk…

    https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/2021-2022/ex4.pdf
    20 Jan 2022: Purchasing the rights to a new movie costs £10,000. How muchhave they spent after 5 years? ... Mr. Smithbuys a new car as soon as the old one breaks down or reaches T years.
  7. STATISTICS Part IBExample Sheet 1 (of 3) Lent 2022 ...

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2021-2022/Qu1.pdf
    13 Jan 2022: Find an injective function h on (0,) such that, writing ψ = h(θ), the maximumlikelihood estimator ψ̂ of the new parameter ψ is unbiased.
  8. Applied probability, Lent 2022 I. Kontoyiannis, ik355@cam.ac.uk…

    https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/2021-2022/ex1.pdf
    20 Jan 2022: There are two salesmennear the door who offer passing customers samples of a new product. ... Each customer takesan exponential time of parameter 1 to think about the new product, and during this timeoccupies the full attention of one salesman.
  9. Pierre RAPHAËL Herchel Smith Professor of Pure MathematicsDepartment …

    https://www.dpmms.cam.ac.uk/files/raphael/cv-complet-2022.pdf
    25 Jan 2022: Martel (Versailles), F. Merle. (IHES), F. Planchon (Nice), J. Szeftel (Jussieu).Fall 2015 Coorganizer of the jumbo MSRI program ”New challenges in PDE: Deterministic dynamics and. ... Amer. Math. Soc. 24 (2011), no. 2, 471546. [31] Lemou, M.; Mehats, F.
  10. MATHEMATICAL TRIPOS: PART IA Lent 2022 PROBABILITY Dominic YeoExample …

    https://www.dpmms.cam.ac.uk/study/IA/Probability/2021-2022/pex22_sheet1.pdf
    22 Jan 2022: Without explicit calculation, would you expect this new probabilityto be larger, smaller, or equal to the probability obtained in Exercise 3?
  11. MORDELL 2022 – SCHEDULE Lectures will take place in ...

    https://www.dpmms.cam.ac.uk/~jat58/mordell/programme.pdf
    13 Aug 2022: In this talk, I will presenta proof of this conjecture. As a consequence this gives a new proof of theUniform Manin-Mumford Conjecture for curves (recently proved by Kühne)without using ... This is joint work with Michele Fornea. 3:30pm. Holly Green
  12. MATHEMATICAL TRIPOS PART II (2021–2022)CODING AND CRYPTOGRAPHY…

    https://www.dpmms.cam.ac.uk/study/II/Coding/2021-2022/CC2-20.pdf
    10 Jan 2022: numbers’. A new system was introduced which is compatible with the systemused to label most consumer goods.
  13. Automata & Formal LanguagesMichaelmas Term 2022 Part II of ...

    https://www.dpmms.cam.ac.uk/study/II/AutomataAndFormalLanguages/2022-2023/M22_AFL_ES1.pdf
    24 Oct 2022: Let X1,. , Xn be n new variables that do not occurin V and consider the following list of 2n rules:.
  14. Spaces of manifolds

    https://www.dpmms.cam.ac.uk/~or257/slides/Princeton2022.pdf
    13 Apr 2022: More recent work shows that the formula of Farrell and Hsiangcannot be the whole story: there are new phenomena outside of thepseudoisotopy stable range.
  15. Diffeomorphisms of discs

    https://www.dpmms.cam.ac.uk/~or257/slides/ICM2022.pdf
    12 Jul 2022: Everything new I will say represents collaborations with. Manuel Krannich and with Alexander Kupers. ... Weiss introduced a powerful new kind of relativisation:. For M with M = Sd1 and 12 M := Dd1 Sd1 he showed there is ahomotopy fibre sequence.
  16. ON BINARY QUARTICS AND THE CASSELS-TATE PAIRING TOM FISHER ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/bq-ctp.pdf
    31 Aug 2022: ON BINARY QUARTICS AND THE CASSELS-TATE PAIRING. TOM FISHER. Abstract. We use the invariant theory of binary quartics to give a new for-mula for the Cassels-Tate pairing on ... 3. Statement of results. In this section we state our new formula for the
  17. Proofs for some results inTopics in Analysis T. W. ...

    https://www.dpmms.cam.ac.uk/~twk10/Caesar.pdf
    12 Aug 2022: We deal with the case when z lies on the boundary of some S by erasingany sides through z and repeating the argument with the new (non-regular)grid.
  18. QUANTUM COHOMOLOGY AND CLOSED–STRING MIRROR SYMMETRY FOR TORIC…

    https://www.dpmms.cam.ac.uk/~jes98/ToricQH.pdf
    19 Dec 2022: Abstract. We give a short new computation of the quantum cohomology of an arbitrary smooth(semiprojective) toric variety X, by showing directly that the Kodaira–Spencer map of
  19. Topics in Analysis T. W. Körner August 11, 2022 ...

    https://www.dpmms.cam.ac.uk/~twk10/Topic.pdf
    12 Aug 2022: Bertha’s choice, Albert changes his choice to p′ and then,knowing Albert’s new choice, Bertha changes to q′ and then. ... 13. that neither party can do better by unilaterally choosing a new value.
  20. Current Developments in Mathematics Reciprocity and symmetric power…

    https://www.dpmms.cam.ac.uk/~jat58/cdm-template.pdf
    18 Nov 2022: for all τ h. Splitting the integral (2.2) into two pieces gives an expressionand applying this gives a new expression. ... The higher symmetric power L-functions aregenuinely new, but can similarly be described as shifts L(Symm ρE,p,sm/2)of the
  21. REPRESENTATION THEORY SIMON WADSLEY Lecture 1 1. Introduction…

    https://www.dpmms.cam.ac.uk/~sjw47/2021RepTh.pdf
    6 Jul 2022: Then define a. new inner product (,) on V by averaging:.

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