Kyle Broder

@UCkDicHMdLaJQ3OIly7B6wug - 15.6K subscribers

I'm a Ph.D. student in complex differential geometry and geometric analysis. My research focus is in the area of Kähler--Ricci flow, specifically focusing on twisted Kähler--Einstein metrics which arise as long-time solutions of the flow (as well as collapsed limits of Ricci-flat metrics)! My Ph.D. supervisors are Professor Gang Tian (Princeton, Beijing University) and Professor Ben Andrews (Australian National University). These videos are separate from my research and teaching roles at the Australian National University, University of Sydney, and Beijing University.

Home Videos Live Playlists

What is Mathematical Research?

What is Mathematical Research? Kyle Broder

4.6K views - 2 years ago

The Chern--Ricci flow | Ben Weinkove

The Chern--Ricci flow | Ben Weinkove Kyle Broder

2.1K views - 3 years ago

Using Anki to Study Mathematics

Using Anki to Study Mathematics Kyle Broder

19K views - 3 years ago

Introduction to Complex Differential Geometry -- Lecture 1 -- Intuition and Definition of Manifolds

Introduction to Complex Differential Geometry -- Lecture 1 -- Intuition and Definition of Manifolds Kyle Broder

12K views - 3 years ago

Burkard Wilking -- A generalisation of Gromov's almost-flat manifold theorem

Burkard Wilking -- A generalisation of Gromov's almost-flat manifold theorem Kyle Broder

898 views - 3 years ago

Michael Green -- String Scattering Amplitudes, Feynman diagrams, and M-theory

Michael Green -- String Scattering Amplitudes, Feynman diagrams, and M-theory Kyle Broder

977 views - 3 years ago

Mathematical Research Lecture -- Kyle Broder -- Curvature and Moduli

Mathematical Research Lecture -- Kyle Broder -- Curvature and Moduli Kyle Broder

694 views - 3 years ago

RICCI FLOW -- On the scalar curvature blow up conjecture in Ricci flow -- Richard Bamler

RICCI FLOW -- On the scalar curvature blow up conjecture in Ricci flow -- Richard Bamler Kyle Broder

1.3K views - 3 years ago

KÄHLER--RICCI FLOW (new results) -- GANG TIAN

KÄHLER--RICCI FLOW (new results) -- GANG TIAN Kyle Broder

1.2K views - 3 years ago

Kyle Broder -- Recent Developments Concerning the Schwarz Lemma

Kyle Broder -- Recent Developments Concerning the Schwarz Lemma Kyle Broder

813 views - 3 years ago

Ed Witten -- From Gauge Theory to Khovanov Homology Via Floer Theory

Ed Witten -- From Gauge Theory to Khovanov Homology Via Floer Theory Kyle Broder

2.6K views - 3 years ago

Artem Pulemotov -- The prescribed Ricci curvature problem on homogenous spaces

Artem Pulemotov -- The prescribed Ricci curvature problem on homogenous spaces Kyle Broder

1.5K views - 3 years ago

VECTOR CALCULUS LECTURE 16

VECTOR CALCULUS LECTURE 16 Kyle Broder

950 views - 4 years ago

VECTOR CALCULUS LECTURE 17

VECTOR CALCULUS LECTURE 17 Kyle Broder

609 views - 4 years ago

VECTOR CALCULUS LECTURE 15

VECTOR CALCULUS LECTURE 15 Kyle Broder

376 views - 4 years ago

VECTOR CALCULUS LECTURE 13

VECTOR CALCULUS LECTURE 13 Kyle Broder

461 views - 4 years ago

VECTOR CALCULUS LECTURE 14

VECTOR CALCULUS LECTURE 14 Kyle Broder

380 views - 4 years ago

VECTOR CALCULUS LECTURE 11

VECTOR CALCULUS LECTURE 11 Kyle Broder

401 views - 4 years ago

VECTOR CALCULUS LECTURE 12

VECTOR CALCULUS LECTURE 12 Kyle Broder

366 views - 4 years ago

VECTOR CALCULUS LECTURE 9

VECTOR CALCULUS LECTURE 9 Kyle Broder

484 views - 4 years ago

VECTOR CALCULUS LECTURE 10

VECTOR CALCULUS LECTURE 10 Kyle Broder

419 views - 4 years ago

VECTOR CALCULUS LECTURE 7

VECTOR CALCULUS LECTURE 7 Kyle Broder

581 views - 4 years ago

VECTOR CALCULUS LECTURE 8

VECTOR CALCULUS LECTURE 8 Kyle Broder

379 views - 4 years ago

VECTOR CALCULUS LECTURE 6

VECTOR CALCULUS LECTURE 6 Kyle Broder

1.1K views - 4 years ago

VECTOR CALCULUS LECTURE 5

VECTOR CALCULUS LECTURE 5 Kyle Broder

533 views - 4 years ago

VECTOR CALCULUS LECTURE 3

VECTOR CALCULUS LECTURE 3 Kyle Broder

667 views - 4 years ago

VECTOR CALCULUS LECTURE 4

VECTOR CALCULUS LECTURE 4 Kyle Broder

538 views - 4 years ago

Computing the exterior derivative and the wedge product | Vector Calculus | Geometric Algebra

Computing the exterior derivative and the wedge product | Vector Calculus | Geometric Algebra Kyle Broder

7.9K views - 4 years ago

The one-form associated to the gradient field | Vector Calculus | Geometric Algebra

The one-form associated to the gradient field | Vector Calculus | Geometric Algebra Kyle Broder

3.6K views - 4 years ago

VECTOR CALCULUS LECTURE 1

VECTOR CALCULUS LECTURE 1 Kyle Broder

2.5K views - 4 years ago

VECTOR CALCULUS LECTURE 2

VECTOR CALCULUS LECTURE 2 Kyle Broder

2K views - 4 years ago

Computing the exterior derivative of a 1--form | Geometric Algebra

Computing the exterior derivative of a 1--form | Geometric Algebra Kyle Broder

8.8K views - 4 years ago

Complex Analysis (Advanced) -- The Schwarz Lemma

Complex Analysis (Advanced) -- The Schwarz Lemma Kyle Broder

2.1K views - 4 years ago

Complex Analysis (Advanced) -- The Schwarz Lemma in Kähler and non-Kähler Geometry

Complex Analysis (Advanced) -- The Schwarz Lemma in Kähler and non-Kähler Geometry Kyle Broder

523 views - 4 years ago

Complex Analysis (Advanced) -- Intrinsic Metrics on Complex Manifolds

Complex Analysis (Advanced) -- Intrinsic Metrics on Complex Manifolds Kyle Broder

1.2K views - 4 years ago

Complex Analysis (Advanced) -- The Ahlfors--Schwarz Lemma

Complex Analysis (Advanced) -- The Ahlfors--Schwarz Lemma Kyle Broder

1K views - 4 years ago

Complex Analysis (Advanced) -- The Schwarz--Pick Lemma -- The First Divide

Complex Analysis (Advanced) -- The Schwarz--Pick Lemma -- The First Divide Kyle Broder

1.7K views - 4 years ago

Complex Analysis (Advanced) -- This murderer inspired the results of my Ph.D. thesis

Complex Analysis (Advanced) -- This murderer inspired the results of my Ph.D. thesis Kyle Broder

3.9K views - 4 years ago

Eigenvalues of Similar Matrices, Eigenvalues, Change of Basis Matrices (Linear Algebra)

Eigenvalues of Similar Matrices, Eigenvalues, Change of Basis Matrices (Linear Algebra) Kyle Broder

1.1K views - 4 years ago

Similar Matrices, Change of Basis Matrices, and Diagonalisable Matrices (Linear Algebra)

Similar Matrices, Change of Basis Matrices, and Diagonalisable Matrices (Linear Algebra) Kyle Broder

2K views - 4 years ago

Diagonalisable Matrices, Eigenvalues, Determinants, Change of Basis Matrices (Linear Algebra)

Diagonalisable Matrices, Eigenvalues, Determinants, Change of Basis Matrices (Linear Algebra) Kyle Broder

1.1K views - 4 years ago

Geometric Algebra -- What is area? | Wedge product, Exterior Algebra, Differential Forms

Geometric Algebra -- What is area? | Wedge product, Exterior Algebra, Differential Forms Kyle Broder

48K views - 4 years ago

Why you don't understand the Fundamental Theorem of Calculus | Geometric Algebra

Why you don't understand the Fundamental Theorem of Calculus | Geometric Algebra Kyle Broder

5.1K views - 4 years ago

How to succeed as a math student // A conversation with Trefor Bazett // Part II

How to succeed as a math student // A conversation with Trefor Bazett // Part II Kyle Broder

4K views - 5 years ago

Why you don't understand GREEN'S THEOREM -- Geometric Algebra, Calculus 3, Vector Calculus

Why you don't understand GREEN'S THEOREM -- Geometric Algebra, Calculus 3, Vector Calculus Kyle Broder

75K views - 5 years ago

Spinors as the Square Root of Geometry -- Michael Atiyah

Spinors as the Square Root of Geometry -- Michael Atiyah Kyle Broder

18K views - 5 years ago

Gradient Vector Field Example -- Calculus 3, Vector Calculus

Gradient Vector Field Example -- Calculus 3, Vector Calculus Kyle Broder

4.2K views - 5 years ago

Cedric Villani -- Two perspectives on CONVEXITY -- Synthetic and Analytic

Cedric Villani -- Two perspectives on CONVEXITY -- Synthetic and Analytic Kyle Broder

1.7K views - 5 years ago

Derivation of the integration factor for first-order ODEs

Derivation of the integration factor for first-order ODEs Kyle Broder

4.7K views - 5 years ago

Michael Atiyah on Dirac and Spinors -- IHES lecture

Michael Atiyah on Dirac and Spinors -- IHES lecture Kyle Broder

1.8K views - 5 years ago

Computing the Wronskian -- Example 2 -- Calculus 3, Vector Calculus

Computing the Wronskian -- Example 2 -- Calculus 3, Vector Calculus Kyle Broder

532 views - 5 years ago

Computing the Wronskian -- Example 1 -- Calculus 3, Vector Calculus

Computing the Wronskian -- Example 1 -- Calculus 3, Vector Calculus Kyle Broder

1K views - 5 years ago

Line Integrals, Mass, and Density -- Example 2 -- Calculus 3, Vector Calculus

Line Integrals, Mass, and Density -- Example 2 -- Calculus 3, Vector Calculus Kyle Broder

504 views - 5 years ago

Curl and Conservative Vector Fields | Calculus 3 | Vector Calculus

Curl and Conservative Vector Fields | Calculus 3 | Vector Calculus Kyle Broder

616 views - 5 years ago

Green's Theorem Example | Calculus 3 | Vector Calculus

Green's Theorem Example | Calculus 3 | Vector Calculus Kyle Broder

1.3K views - 5 years ago

Don Zagier on Maxim Kontsevich

Don Zagier on Maxim Kontsevich Kyle Broder

6.5K views - 5 years ago

Line Integrals, Mass, and Density | Vector Calculus | Calculus 3

Line Integrals, Mass, and Density | Vector Calculus | Calculus 3 Kyle Broder

2.1K views - 5 years ago

Linear Algebra and Differential Equations - Who cares about Wronskians anyway?

Linear Algebra and Differential Equations - Who cares about Wronskians anyway? Kyle Broder

11K views - 5 years ago

Liouville's theorem -- Complex Analysis

Liouville's theorem -- Complex Analysis Kyle Broder

7.3K views - 5 years ago

Misha Gromov -- An interest in everything

Misha Gromov -- An interest in everything Kyle Broder

6.3K views - 5 years ago