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Funding for postgraduate students
Information about sources of funding available to postgraduates at Cambridge.
www.student-funding.cam.ac.uk/
Cambridge Bursary Scheme
The Bursary is free financial support of generally up to £3,500 a year for full-time undergraduate students, to help with your Cambridge fees or living costs. Like a scholarship or grant, the payment is non-refundable – you don’t need to pay it back.
Higher amounts are available for medical students in their clinical years, independent students including care leavers, and students who were eligible for free school meals.
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- Date: 2022
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Mordell 2022
https://www.dpmms.cam.ac.uk/~jat58/mordell/7 Jul 2022: Mordell 2022. August 15-19, 2022. Cambridge, UK. 100 years of elliptic curves. ... The year 2022 marks the centenary of Mordell's 1922 paper "On the Rational Solutions of the Indeterminate Equations of the Third and Fourth Degrees", in which Mordell both -
Mich 2022 SJW Representation Theory — Examples Sheet 4 ...
https://www.dpmms.cam.ac.uk/~sjw47/2022ex4.pdf29 Nov 2022: Mich 2022 SJW. Representation Theory — Examples Sheet 4. On this sheet all representations are complex representations unless stated otherwise. -
Lukas Kofler
https://www.dpmms.cam.ac.uk/~lk456/25 Oct 2022: In Easter 2022, Guillem Garcia Tarrach and I organised a reading group on the Arthur-Selberg Trace Formula for GL2. -
ANALYSIS I EXAMPLES 1 G.P. Paternain Lent 2022 Comments ...
https://www.dpmms.cam.ac.uk/~gpp24/aI_1_22.pdf19 Jan 2022: ANALYSIS I EXAMPLES 1. G.P. Paternain Lent 2022. Comments on and/or corrections to the questions on this sheet are always welcome,and may be e-mailed to me at -
GRAPH THEORY - EXAMPLE SHEET 2 Michaelmas 2022 Julian ...
https://www.dpmms.cam.ac.uk/study/II/Graphs/2022-2023/Sheet2.pdf8 Nov 2022: GRAPH THEORY - EXAMPLE SHEET 2. Michaelmas 2022. Julian Sahasrabudhe. (1) For a graph G, show that κ(G) 6 λ(G) 6 δ(G). ... G is outer-planar if andonly if. ”. Prove your conjecture. (15) () Show there is a triangle free graph with chromatic number -
Teaching
https://www.dpmms.cam.ac.uk/~ss2871/teaching.html21 Jan 2022: Teaching. In the Lent term 2022, at the University of Cambridge, I am teaching the Part III course "Stochastic Calculus and Applications". -
Program | Mordell 2022
https://www.dpmms.cam.ac.uk/~jat58/mordell/program/index.html4 Aug 2022: Mordell 2022. August 15-19, 2022. Cambridge, UK. Conference Programme. Lunch will be provided on Tuesday and Thursday while there is a free afternoon on Wednesday. -
Mich 2022 SJW Representation Theory — Examples Sheet 3 ...
https://www.dpmms.cam.ac.uk/~sjw47/2022ex3.pdf29 Nov 2022: Mich 2022 SJW. Representation Theory — Examples Sheet 3. On this sheet all groups are finite and all representations are complex representations. -
Location | Mordell 2022
https://www.dpmms.cam.ac.uk/~jat58/mordell/directions/index.html16 Jun 2022: Mordell 2022. August 15-19, 2022. Cambridge, UK. Location. All lectures will take place in MR2 at the Centre for Mathematical Sciences on Wilberforce Road. -
ANALYSIS I EXAMPLES 2 G.P. Paternain Lent 2022 Comments ...
https://www.dpmms.cam.ac.uk/~gpp24/aI_2_22.pdf19 Jan 2022: ANALYSIS I EXAMPLES 2. G.P. Paternain Lent 2022. Comments on and/or corrections to the questions on this sheet are always welcome,and may be e-mailed to me at -
IA Groups - Example Sheet 2 Michaelmas 2022 rdc26@cam.ac.uk ...
https://www.dpmms.cam.ac.uk/study/IA/Groups/2022-2023/gps222.pdf25 Oct 2022: IA Groups - Example Sheet 2. Michaelmas 2022 rdc26@cam.ac.uk. 1. Write the following permutations as products of disjoint cycles, and compute their order and sign:. -
Mich. 2022 SJW Representation Theory — Examples Sheet 2 ...
https://www.dpmms.cam.ac.uk/~sjw47/2022ex2.pdf29 Nov 2022: Mich. 2022 SJW. Representation Theory — Examples Sheet 2. On this sheet all representations are complex representations. -
ANALYSIS I EXAMPLES 4 G.P. Paternain Lent 2022 Comments ...
https://www.dpmms.cam.ac.uk/~gpp24/aI_4_22.pdf17 Feb 2022: ANALYSIS I EXAMPLES 4. G.P. Paternain Lent 2022. Comments on and/or corrections to the questions on this sheet are always welcome,and may be e-mailed to me at -
IA Groups - Example Sheet 4 Michaelmas 2022 rdc26@cam.ac.uk ...
https://www.dpmms.cam.ac.uk/study/IA/Groups/2022-2023/gps422.pdf22 Nov 2022: IA Groups - Example Sheet 4. Michaelmas 2022 rdc26@cam.ac.uk. 1. Find the centre of Sn, and of An, for all n. -
Michaelmas 2022 SJW Representation Theory — Examples Sheet 1 ...
https://www.dpmms.cam.ac.uk/~sjw47/2022ex1.pdf29 Nov 2022: Michaelmas 2022 SJW. Representation Theory — Examples Sheet 1. 1. Let ρ be a representation of a group G. -
ANALYSIS I EXAMPLES 3 G.P. Paternain Lent 2022 Comments ...
https://www.dpmms.cam.ac.uk/~gpp24/aI_3_22.pdf17 Feb 2022: ANALYSIS I EXAMPLES 3. G.P. Paternain Lent 2022. Comments on and/or corrections to the questions on this sheet are always welcome,and may be e-mailed to me at -
GRAPH THEORY - EXAMPLE SHEET 4 Michaelmas 2022 Julian ...
https://www.dpmms.cam.ac.uk/study/II/Graphs/2022-2023/Sheet4.pdf25 Nov 2022: GRAPH THEORY - EXAMPLE SHEET 4. Michaelmas 2022. Julian Sahasrabudhe. (1) For p n2, let G G(n, p). -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/Statistics/13 Jan 2022: Statistics. Statistics. Example sheets. 2021 - 2022. DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. -
GRAPH THEORY - EXAMPLE SHEET 1 Michaelmas 2022 Julian ...
https://www.dpmms.cam.ac.uk/study/II/Graphs/2022-2023/sheet1.pdf26 Oct 2022: GRAPH THEORY - EXAMPLE SHEET 1. Michaelmas 2022. Julian Sahasrabudhe. (1) Show that a graph G which contains an odd circuit, contains an odd cycle. -
IA Groups - Example Sheet 1 Michaelmas 2022 rdc26@cam.ac.uk ...
https://www.dpmms.cam.ac.uk/study/IA/Groups/2022-2023/gps122.pdf11 Oct 2022: IA Groups - Example Sheet 1. Michaelmas 2022 rdc26@cam.ac.uk. 1. Let G be a group. -
Example sheet 4, Galois Theory (Michaelmas 2022)…
https://www.dpmms.cam.ac.uk/study/II/Galois/2022-2023/ex4.pdf29 Nov 2022: Example sheet 4, Galois Theory (Michaelmas 2022). a.j.scholl@dpmms.cam.ac.uk. Trace and norm. -
ANALYSIS I EXAMPLES 1 G.P. Paternain Lent 2022 Comments ...
https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2021-2022/aI_1_22.pdf22 Jan 2022: ANALYSIS I EXAMPLES 1. G.P. Paternain Lent 2022. Comments on and/or corrections to the questions on this sheet are always welcome,and may be e-mailed to me at -
Michaelmas Term 2022-23 Numbers and Sets: Examples Sheet 3 ...
https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2022-2023/numset3_2022.pdf5 Nov 2022: Michaelmas Term 2022-23. Numbers and Sets: Examples Sheet 3 of 4. ... julia.wolf@dpmms.cam.ac.uk 5th November 2022. -
ANALYSIS I EXAMPLES 2 G.P. Paternain Lent 2022 Comments ...
https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2021-2022/aI_2_22.pdf22 Jan 2022: ANALYSIS I EXAMPLES 2. G.P. Paternain Lent 2022. Comments on and/or corrections to the questions on this sheet are always welcome,and may be e-mailed to me at -
Easter Term 2022 Optimization - Examples Sheet 1 1. ...
https://www.dpmms.cam.ac.uk/study/IB/Optimization/2021-2022/ex1.pdf26 Apr 2022: Easter Term 2022. Optimization - Examples Sheet 1. 1. Show that the set {x Rn : Ax b, x 0} is convex. -
Riemann Surfaces, Examples 3 Lent 2022 Please send any ...
https://www.dpmms.cam.ac.uk/study/II/Riemann/2021-2022/RS%20Sheet%203.pdf10 Apr 2022: Riemann Surfaces, Examples 3. Lent 2022. Please send any comments or corrections to me at hjrw2@cam.ac.uk. ... 1. Lent 2022 2. 7. With notation as in the previous question, and a a complex number with 2a / Λ,show that the elliptic function. -
Michaelmas Term 2022-23 Numbers and Sets: Examples Sheet 4 ...
https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2022-2023/numset4_2022.pdf19 Nov 2022: Michaelmas Term 2022-23. Numbers and Sets: Examples Sheet 4 of 4. ... Is there such a bijection that isorder-preserving (i.e. x < y implies f(x) < f(y) )? julia.wolf@dpmms.cam.ac.uk 19th November 2022. Michaelmas Term 2022-23. 15. -
Mich 2022 SJW Representation Theory — Examples Sheet 4 ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2022-2023/2022ex4.pdf24 Nov 2022: Mich 2022 SJW. Representation Theory — Examples Sheet 4. On this sheet all representations are complex representations unless stated otherwise. -
ANALYSIS I EXAMPLES 4 G.P. Paternain Lent 2022 Comments ...
https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2021-2022/aI_4_22.pdf17 Feb 2022: ANALYSIS I EXAMPLES 4. G.P. Paternain Lent 2022. Comments on and/or corrections to the questions on this sheet are always welcome,and may be e-mailed to me at -
MATHEMATICAL TRIPOS PART II (2021–2022)CODING AND CRYPTOGRAPHY…
https://www.dpmms.cam.ac.uk/study/II/Coding/2021-2022/CC3-20.pdf10 Jan 2022: MATHEMATICAL TRIPOS PART II (2021–2022)CODING AND CRYPTOGRAPHY. EXAMPLE SHEET 3 OF 4. ... 1. 2MATHEMATICAL TRIPOS PART II (2021–2022) CODING AND CRYPTOGRAPHY EXAMPLE SHEET 3 OF 4. -
ALGEBRAIC GEOMETRY, SHEET IV: LENT 2022 1. Let X ...
https://www.dpmms.cam.ac.uk/study/II/AlgebraicGeometry/2021-2022/AG2022Sheet4.pdf21 Mar 2022: ALGEBRAIC GEOMETRY, SHEET IV: LENT 2022. 1. Let X be the projective closure of the affine curve y3 = x4 1. -
Mich 2022 SJW Representation Theory — Examples Sheet 3 ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2022-2023/2022ex3.pdf4 Nov 2022: Mich 2022 SJW. Representation Theory — Examples Sheet 3. On this sheet all groups are finite and all representations are complex representations. -
ALGEBRAIC GEOMETRY, SHEET III: LENT 2022 1. Let V1 ...
https://www.dpmms.cam.ac.uk/study/II/AlgebraicGeometry/2021-2022/AG2022Sheet3.pdf7 Mar 2022: ALGEBRAIC GEOMETRY, SHEET III: LENT 2022. 1. Let V1 = V(X80 X81 X82 ) and V2 = V(X40 X41 X42 ) be curves in P2. -
MATHEMATICAL TRIPOS PART II (2021–2022)CODING AND CRYPTOGRAPHY…
https://www.dpmms.cam.ac.uk/study/II/Coding/2021-2022/CC1-20.pdf10 Jan 2022: MATHEMATICAL TRIPOS PART II (2021–2022)CODING AND CRYPTOGRAPHY. EXAMPLE SHEET 1 OF 4. ... 1. 2MATHEMATICAL TRIPOS PART II (2021–2022) CODING AND CRYPTOGRAPHY EXAMPLE SHEET 1 OF 4. -
ANALYSIS I EXAMPLES 3 G.P. Paternain Lent 2022 Comments ...
https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2021-2022/aI_3_22.pdf17 Feb 2022: ANALYSIS I EXAMPLES 3. G.P. Paternain Lent 2022. Comments on and/or corrections to the questions on this sheet are always welcome,and may be e-mailed to me at -
Mich. 2022 ANALYSIS AND TOPOLOGY—EXAMPLES 3 PAR 1. Let ...
https://www.dpmms.cam.ac.uk/study/IB/AnalysisandTopology/2022-2023/22sheet3.pdf12 Nov 2022: Mich. 2022 ANALYSIS AND TOPOLOGY—EXAMPLES 3 PAR. 1. Let W, X and Y be topological spaces, let f: W X, let g: X Y and let a W. -
Mich. 2022 SJW Representation Theory — Examples Sheet 2 ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2022-2023/2022ex2.pdf27 Oct 2022: Mich. 2022 SJW. Representation Theory — Examples Sheet 2. On this sheet all representations are complex representations. -
ALGEBRAIC GEOMETRY, SHEET II: LENT 2022 Projective Space Basics1. ...
https://www.dpmms.cam.ac.uk/study/II/AlgebraicGeometry/2021-2022/AG2022Sheet2.pdf21 Feb 2022: ALGEBRAIC GEOMETRY, SHEET II: LENT 2022. Projective Space Basics1. Prove that any two distinct lines in P2 intersect at a single point.2. ... the equation is. How many lines can you find? 1. ALGEBRAIC GEOMETRY, SHEET II: LENT 2022 2. -
Number Fields IID, Lent 2022: Example Sheet 3 of ...
https://www.dpmms.cam.ac.uk/study/II/NumberFields/2021-2022/ex-sheet3.pdf28 Feb 2022: Number Fields IID, Lent 2022: Example Sheet 3 of 3. 1. ... 1 - a.j.scholl@dpmms.cam.ac.uk. Number Fields IID, Lent 2022: Example Sheet 3 of 3. -
Number Fields IID, Lent 2022: Example Sheet 2 of ...
https://www.dpmms.cam.ac.uk/study/II/NumberFields/2021-2022/ex-sheet2.pdf18 Jan 2022: Number Fields IID, Lent 2022: Example Sheet 2 of 3. 1. ... 1 - a.j.scholl@dpmms.cam.ac.uk. Number Fields IID, Lent 2022: Example Sheet 2 of 3. -
Mich. 2022 ANALYSIS AND TOPOLOGY—EXAMPLES 4 PAR 1. Define ...
https://www.dpmms.cam.ac.uk/study/IB/AnalysisandTopology/2022-2023/22sheet4.pdf24 Nov 2022: Mich. 2022 ANALYSIS AND TOPOLOGY—EXAMPLES 4 PAR. 1. Define f:Mn Mn by f(A) = A4. -
Michaelmas 2022 SJW Representation Theory — Examples Sheet 1 ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2022-2023/2022ex1.pdf9 Oct 2022: Michaelmas 2022 SJW. Representation Theory — Examples Sheet 1. 1. Let ρ be a representation of a group G. -
ALGEBRAIC GEOMETRY, SHEET I: LENT 2022 Topological Spaces of ...
https://www.dpmms.cam.ac.uk/study/II/AlgebraicGeometry/2021-2022/AG2022Sheet1.pdf30 Jan 2022: ALGEBRAIC GEOMETRY, SHEET I: LENT 2022. Topological Spaces of Varieties1. Describe all the open sets in the topological subspace V(XY ) A2 in the Zariski. ... Calculate all morphisms. A1 V. Dhruv Ranganathan, dr508@cam.ac.uk. 1. ALGEBRAIC GEOMETRY, SHEET -
RN (nickl@maths.cam.ac.uk) Michaelmas 2022 Probability and Measure 1…
https://www.dpmms.cam.ac.uk/study/II/Probability%2BMeasure/2022-2023/ex1.pdf5 Oct 2022: RN (nickl@maths.cam.ac.uk) Michaelmas 2022. Probability and Measure 1. 1.1. Let E be a set and let S be a set of σ-algebras on E. -
Easter Term 2022 Optimization - Examples Sheet 2 1. ...
https://www.dpmms.cam.ac.uk/study/IB/Optimization/2021-2022/ex2.pdf26 Apr 2022: Easter Term 2022. Optimization - Examples Sheet 2. 1. Consider the problem. -
Applied probability, Lent 2022 I. Kontoyiannis, ik355@cam.ac.uk…
https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/2021-2022/ex1.pdf20 Jan 2022: Applied probability, Lent 2022 I. Kontoyiannis, ik355@cam.ac.uk. Example Sheet 1. 1. -
Michaelmas Term 2022 T.A. Fisher Number Theory: Example Sheet ...
https://www.dpmms.cam.ac.uk/study/II/NumberTheory/2022-2023/number_theory-22-3.pdf10 Nov 2022: Michaelmas Term 2022 T.A. Fisher. Number Theory: Example Sheet 3 of 4. ... T.A.Fisher@dpmms.cam.ac.uk - 1 - 10th November 2022. 9. Prove that for every n > 1, the set of numbers {1, 2,. , -
Lent Term 2022 Keating Part II Differential Geometry: Example ...
https://www.dpmms.cam.ac.uk/study/II/DifferentialGeometry/2021-2022/dg22.1.pdf24 Jan 2022: Lent Term 2022 Keating. Part II Differential Geometry: Example Sheet 1 of 4. ... amk50@cam.ac.uk - 1 - January 2022. 13. Let X be a compact manifold without boundary and Y a connected manifold with the same dimensionas X. -
RN (nickl@maths.cam.ac.uk) Michaelmas 2022 Probability and Measure 3…
https://www.dpmms.cam.ac.uk/study/II/Probability%2BMeasure/2022-2023/ex3_new.pdf5 Oct 2022: RN (nickl@maths.cam.ac.uk) Michaelmas 2022. Probability and Measure 3. 4.1. Let (fn : n N) be a sequence of integrable functions and suppose that fn f a.e. -
RN (nickl@maths.cam.ac.uk) Michaelmas 2022 Probability and Measure 4…
https://www.dpmms.cam.ac.uk/study/II/Probability%2BMeasure/2022-2023/ex4_new.pdf5 Oct 2022: RN (nickl@maths.cam.ac.uk) Michaelmas 2022. Probability and Measure 4. 7.8. Let (Xn : n N) be a sequence of random variables in R and let X be another
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