Talks

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Summer School for Women in Mathematics and Statistics
Monday, 17 June 2024
Time Speaker Title Resources
09:30 to 10:50 -- Graphs: Shifts-Expansions, Concavity and Negation
11:20 to 12:40 -- Curve Sketching-Polynomials and Negation
14:00 to 15:20 -- Curve Sketching-Asymptotes and Negation - 2
15:45 to 16:45 Ipsita Datta (ETH Zürich, Switzerland) What is Symplectic geometry?

This will be a gentle introduction to phase spaces and symplectic geometry. I hope to give a sense of what sort of questions are interesting to people working in this field.
 
17:00 to 18:00 Priscilla Rupali (CMC Vellore, India) Journey of a medical scientist
 
Tuesday, 18 June 2024
Time Speaker Title Resources
09:30 to 10:50 -- Working with R- Curve Sketching, Level Curves
11:20 to 12:40 -- Angles, Linear Transformation, Null Space, and Range
14:00 to 15:20 -- Level Curves and Sequences
15:45 to 16:45 Varsha Sridhar (Molecular Solutions Care Health, India) Forays in Public Health: Bridging Environmental Surveillance with Primary Care

For a very long time, I would call my work in environmental surveillance of diseases as "public health" and my work in primary care diagnostics as "clinical care". These seemed to be fairly separate spheres of work with very different strategies, thinking and scales. Over time, I am learning how smoothly they flow and feed into each other and how intricately connected humans are to their environments. In this talk, I will describe some of my favorite projects and hope to impart some of my excitement to you and gain some new perspectives from you!
Wednesday, 19 June 2024
Time Speaker Title Resources
09:30 to 10:50 -- Partial Derivatives and Gradient
11:20 to 12:40 -- Working with R- Linear Transformations, Approximations
14:00 to 15:20 -- Linear and Quadratic Approximations
Thursday, 20 June 2024
Time Speaker Title Resources
09:30 to 10:50 -- Data, Histogram, Mean, Standard Deviation
11:20 to 12:40 -- Working with R-Sampling
14:00 to 15:20 -- Erdos Renyi Graph
15:45 to 16:45 Jahnavi Phalkey (Science Gallery, Bengaluru and ICTS-TIFR, India) Public Engagement and the History of Science

Seen to be at the vanguard of the STEM to STEAM movement, Science Gallery is the world’s first university-linked network dedicated to public engagement with science and art with galleries in Atlanta, Dublin, London, Melbourne, and Monterrary. Science Gallery Bengaluru is the first such gallery of the network in Asia with the mandate to deliver a global mission. In this talk, Jahnavi Phalkey will introduce the form and structure of the new institution, and explore with us the ideas that inform the shape of Science Gallery Bengaluru through her journey to answer one question: what does it mean to go beyond science communication towards an engagement with science, and what does history of science have to do with it?
 
17:00 to 18:00 Preeti Rao (IIT Bombay, India) Music Applications of Fourier Analysis

Fourier decomposition into component frequencies helps to describe audio signals in terms of musical attributes such as melody and timbre. We link the components to the perception of the sound and show the utility of the analysis in applications such as music search and source separation.
 
Friday, 21 June 2024
Time Speaker Title Resources
09:30 to 10:50 -- Likelihood
11:20 to 12:40 -- Two variables- Local Maxima and Local Minima
14:00 to 15:20 -- Eigen Values, Eigen Vectors and Positive Definite Matrices
15:45 to 16:45 Rosa Abraham (APU, India) Women in the India's workforce: Sticky floors, glass ceilings and leaky pipelines

Indian women work ten times more than their counterparts in other countries. Yet, as per official statistics, only 1 out every 4 working age women in India are employed. There have been several arguments made to answer this question. One strand of the literature points towards the conceptualisation of the notion of employment and its limitations in identifying and recognising the kinds of work that women do. Relatedly, some argue that ways of data collection inherently fails to capture women's employment - 'data is sexist!', as they say. A second strand argues that women's domestic work, care burden and gender-based norms keep women out of the paid workforce. Finally, a more recent strand points towards the lack of job creation as a fundamental reason for fewer women in the workforce. Based on primary surveys and official secondary data, the talk addresses each of these strands to unpack the low and falling levels of women's employment in India. I draw from my personal experiences as a women in academia to unpack some of this phenomenon.
 
17:00 to 18:00 Siddhartha Gadgil (IISc, India) Mathematical Reasoning, Formal Proof Systems and Mathematical Reasoning

Generative AI has become a popular sensation, showing remarkable abilities including with language, analogical reasoning and originality. But, as is well known, it is notoriously unreliable.

Less visible have been dramatic developments in Formal Proof Systems, where computers verify and help in finding proofs.

Formal proof systems perfectly complement generative AI for Mathematical reasoning, at least in principle. In this talk, I discuss these two developments and their relation.
 
Saturday, 22 June 2024
Time Speaker Title Resources
09:30 to 10:50 -- Test
11:00 to 13:00 Jyothi Krishnan (IIT Gandhinagar, India) Mathematical Games

In this session we will play games and develop the mathematics of some games (and maybe a puzzle or two).
 
Monday, 24 June 2024
Time Speaker Title Resources
09:30 to 10:50 -- Orthogonal Vectors, Singular value Decomposition
11:20 to 12:40 -- R
14:00 to 15:20 -- Calculus-Linear Algebra
15:45 to 16:45 Sayantee Jana (IIT Hyderabad, India) Navigating Uncertainty with the Power of Data: Probability and Statistics Unraveling Real-World Challenges

Dive into the fascinating world of probability, statistics and data mining as we embark on a journey to unravel complex real-world challenges. Through captivating examples, stories and anecdotes, discover how these statistical principles enable us to quantify the unknown, navigate uncertainty, and devise effective strategies for addressing a wide range of real-world problems. We also discuss about the journey of statistics through time.
 
17:00 to 18:00 K M Sharika (IIT Kanpur, India) Social Cognition: a peek through a multimodal lens

According to the social brain hypothesis, primate brains evolved in size to adapt to the increasing demands of navigating a complex social network. Recent evidence has corroborated this by demonstrating how social interactions (or its lack of) can have measurable consequences on an organism’s biological fitness. However, the physiological mechanisms underlying our everyday decisions in a social context are not yet well-understood. In this talk, I will share some key findings from social neuroscience, highlighting some of our own work with non-human primates on valence based social decision-making. I will end with talking about another aspect of group behavior, a phenomenon known as ‘physiological synchrony’ and show, using our own data from a naturalistic group discussion task, how it could be a biomarker of effective group decision-making.
 
Tuesday, 25 June 2024
Time Speaker Title Resources
09:30 to 10:50 -- Newton’s Method
11:20 to 12:40 -- Multivariate Newton’s Method in R
14:00 to 15:20 -- Steepest descent method
15:45 to 16:45 Nikita Agarwal (IISER Bhopal, India) Regularities within irregularities

Nature has been a great inspiration for many scientific developments. Fractal Geometry is a case in point. Fractals are mathematical objects resembling the irregularities that are observed in nature. Fractal geometry aims to understand the regularities that are hidden behind such irregularities. In this talk, we will discuss the key mathematical concepts related to Fractal Geometry using illustrative examples. We will also give an overview of the development of this field and their applications.
 
17:00 to 18:00 Neeraja Dashaputre (IISER Pune, India) The world of colours

Colour is a fundamental aspect of our world, shaping our perception, culture, and experiences. In this talk, we will explore the multifaceted science of colour, tracing its profound influence through history and delving into the fascinating interplay of physics, chemistry, and biology that brings colour to life. We will also discuss the mathematics of colour, which helps us to identify and represent colour effectively! Encompassing various aspects of how light and colour are interconnected, we will illustrate the principles of light dispersion, the visible spectrum, and the phenomena of reflection, refraction, and absorption that give rise to the colours we see. We will explore the chemistry and the molecular origin of colour in pigments and dyes, along with the biology of colour perception, and interpretation highlighting the evolutionary significance of colour. Join for a colourful journey through time and science with demonstrations that will make the science of colour come alive.
 
Wednesday, 26 June 2024
Time Speaker Title Resources
09:30 to 10:50 -- Image Compression
11:20 to 12:40 -- Logistic Regression
14:00 to 15:20 -- Logistic Regression - 2
Thursday, 27 June 2024
Time Speaker Title Resources
09:30 to 10:50 -- Multidimensional Scaling
11:20 to 12:40 -- k-means Clustering
14:00 to 15:20 -- k-means clustering - 2
15:45 to 16:45 Nivedita Bhakhta (IIT Kanpur, India) Causal Inference: Evaluating Research Design

Causal research is ubiquitous. But, are all causal claims sound and justified? This talk will introduce the basic concepts of causal inference.
 
17:00 to 18:00 Prerona Chatterjee (NISER Bhubaneswar, India) How hard is it to solve this?

Which of the following problems is "harder" to solve? Adding two 5-digit numbers or multiplying them? In general, it seems that multiplying is harder, but is there a way to make this feeling formal?

The area of theoretical computer science tries to do just that for any given problem! In this talk, we will look at some examples of such problems and try to see how easy/hard it is to solve them.
 
Friday, 28 June 2024
Time Speaker Title Resources
09:30 to 10:50 -- Image Compression and Clustering
11:20 to 12:40 -- Image Compression and Clustering - 2
12:40 to 13:00 -- Future Possibilities