Topics (384k) Articles (398k) Users (410) Discussions (242) Comments (383) Files (13k) New article
Olof Sisask co-developed the Croot-Sisask almost-periodicity theorem with Ernie Croot, introducing a probabilistic method for finding almost-periods of convolutions in additive combinatorics.[ref]
Their proof approximates a convolution by sampling and then looks for translations preserving the approximation. Norm estimates turn that probabilistic approximation into many approximate symmetries. The method provides a way to detect additive structure without requiring exact periodicity.[ref]
A probabilistic technique for finding almost-periods of convolutions by Ernie Croot and Olof Sisask. Section 3, sampling proof
Kevin Henriot works on additive combinatorics. His authored Notes on the Croot-Sisask lemma by Kevin Henriot explain a sampling method for finding approximate translation symmetries of convolutions. The author publication page identifies these as expository notes.[ref]
The Croot-Sisask almost-periodicity theorem finds many translations changing a convolution by only a small amount in an norm. Replacing a large average by a random sample makes the argument probabilistic; moment estimates control its error. Henriot's account develops this functional formulation with explicit counting-norm conventions.[ref]
Ben Green works on additive combinatorics and number theory. With Emmanuel Breuillard and Terence Tao, he proved a structure theorem for approximate groups, extending the study of sets with small product growth beyond commutative groups.[ref]
The structure of approximate groups by Emmanuel Breuillard and others. Original byline and Theorem 2.10
He also coauthored the characteristic-two proof of the polynomial Freiman–Ruzsa conjecture with Timothy Gowers, Freddie Manners and Terence Tao. Both projects turn limited growth under addition or multiplication into structural information; the later proof makes entropy a central quantitative tool.[ref]
Freddie Manners works on additive combinatorics and its connections with number theory, analysis and ergodic theory. His UC San Diego profile also uses the name Frederick Manners.[ref]
https://mathematics.ucsd.edu/people/profiles/frederick-manners. Institutional identity and research interests
With Timothy Gowers, Ben Green and Terence Tao, he proved the polynomial Freiman–Ruzsa conjecture in characteristic two. The paper connects additive structure with entropy: sets or random variables whose sums grow unusually little must possess substantial algebraic organization. Its entropy formulation makes inequalities about sums part of a structural theorem in additive combinatorics.[ref]
László Lovász is a mathematician whose work connects combinatorics, graph theory and efficient algorithms. With Arjen K. Lenstra and Hendrik W. Lenstra, he developed the LLL algorithm, which replaces a basis of a Euclidean lattice by a more geometrically controlled basis of the same lattice. Their 1982 paper uses lattice reduction to factor polynomials over the rational numbers in polynomial time.[ref]
Factoring Polynomials with Rational Coefficients by Arjen K. Lenstra and others. Introduction and section 1
The point of reduction is not to change the lattice: integer basis changes preserve it. Instead, shorter, better organized vectors expose relations hidden by a poor basis. This is a striking bridge from geometric reasoning to exact algebraic computation. Lovász shared the 2021 Abel Prize with Avi Wigderson for contributions linking discrete mathematics and theoretical computer science.[ref]
https://abelprize.no/abel-prize-laureates/2021. Official 2021 laureate announcement
László Lovász; photograph by Peter Badge, Abel Prize laureate page
. Chris A. Mack works on photolithography and its modelling. His authored Glossary of Lithography Terms by Chris A. Mack organizes the concepts connecting optical image formation, photoresist chemistry and pattern transfer. His author website identifies his research and technical writing.[ref]
https://lithoguru.com/scientist/. Author homepage
A recurring practical issue is the separation of stages in an image-transfer process: aerial-image modulation describes intensity variation delivered by the optics, while photoresist contrast describes the material's response to exposure and development. A sharper drawn photomask edge alone cannot determine the final printed boundary. Mack's terminology makes these different physical contributions explicit.[ref]
Chan Woo Song is the first-listed author of the 2016 primary paper on producing 3-hydroxypropionic acid and malonic acid through an engineered bacterial pathway. Its verified byline and chemical/biomolecular engineering affiliation identify a concrete contribution to metabolic engineering.[ref]
The product pair illustrates why chemical identity is part of evaluating a biological production system. 3-hydroxypropionic acid has a terminal alcohol group, whereas malonic acid has a carboxyl group at each end of its three-carbon skeleton. The two products are not interchangeable merely because both contain three carbon atoms. Route selection must account for the chemical transformation as well as carbon bookkeeping.
An original analytical illustration considers a culture in which a signal rises after a strain modification. That observation alone does not establish more of the intended product: the signal could include another compound or change with recovery. Product-specific identification and an amount measurement address different parts of the claim. Song’s documented publication belongs to this experimental connection between pathway construction and chemical output; the byline does not specify which individual author performed each step.
Je Woong Kim is a verified coauthor of the 2016 primary study on metabolic engineering of Escherichia coli for production of 3-hydroxypropionic acid and malonic acid. The paper’s affiliation places this published work in chemical and biomolecular engineering; it does not by itself establish a current position or an individual experimental role.[ref]
A useful scientific question in that research area is how pathway output is measured across cultures. For an original example, product concentration in corresponds to , while in corresponds to . The more concentrated culture contains less total product. Comparing production systems therefore requires stating whether the quantity is concentration, accumulated mass, a time-dependent rate or a yield relative to consumed substrate.
This measurement distinction explains why chemical engineering analysis accompanies pathway construction. Genetic changes, culture conditions and the chosen normalization jointly determine what an experimental comparison establishes. Kim’s documented coauthorship supplies the research connection; the illustrative arithmetic is explanatory and is not attributed to a particular experiment or author task.
In Jin Cho is a verified coauthor of the 2016 primary paper on engineered Escherichia coli production of 3-hydroxypropionic acid and malonic acid, documenting a contribution to metabolic engineering.[ref]
KAIST’s dated 2017 institutional news also identifies Cho’s research on biological conversion of p-xylene to terephthalic acid with engineered Escherichia coli. That is a distinct chemical-production problem: converting the two methyl substituents of the aromatic starting material into carboxyl groups while retaining the ring skeleton.[ref]
In Jin Cho Earned the Best Poster Prize at ME Summit 2017 by KAIST. 31 October 2017 entry, winning poster research topic
An experimental assessment of such a conversion must distinguish consumption of starting material from formation of the intended product. Disappearance of a substrate can also reflect competing reactions or losses. Measuring both substrate and product, with a specified chemical identity and balance, tests the conversion more directly than measuring growth alone.
Sang Yup Lee is a chemical engineer whose research includes metabolic engineering, systems biology and synthetic biology. KAIST’s institutional profile identifies him with its Department of Chemical and Biomolecular Engineering and describes research on engineered microbial production systems.[ref]
A concrete publication is the 2016 primary study coauthored with Chan Woo Song, Je Woong Kim and In Jin Cho on engineered Escherichia coli production of 3-hydroxypropionic acid and malonic acid. The project connects modification of metabolic pathways with measured chemical production, rather than treating expression of a gene as proof of successful manufacture.[ref]
The engineering distinction is between a possible biochemical route and a functioning production process. A route can satisfy a reaction-network balance while being limited by enzyme capacity, cellular resource demands or transport. Testing product identity, amount and production conditions therefore complements genetic design. This connection between molecular interventions and measurable process behavior is central to the documented research area.
C. Lemmers led a study of the polarity-associated scaffold hINADl/PATJ in human epithelial cells. The work identified interaction with Crumbs and localization near tight junctions, connecting a molecular interaction to a defined cellular boundary.[ref]
hINADl-PATJ, a homolog of discs lost, interacts with crumbs and localizes to tight junctions in human epithelial cells by C. Lemmers and others. 2002, abstract and title: interaction and epithelial localization
The scientific question was how an epithelium maintains different apical and basolateral domains. A scaffold can organize several interacting components at one location, so its role is not exhausted by its abundance. Interaction evidence and localization evidence together constrain a cell polarity mechanism, although neither alone proves every step of assembly. The primary byline identifies the author as Céline Lemmers.
A. Armulik investigated how pericytes regulate the blood-brain barrier. In the 2010 mouse study, pericyte-deficient mutants showed increased passage of tracers across brain vessels. The increased permeability involved endothelial transcytosis; the study also linked pericytes to endothelial gene-expression patterns and polarization of astrocyte end-feet.[ref]
Pericytes regulate the blood–brain barrier by A. Armulik and others. Abstract: pericyte-deficient mice, tracer permeability, transcytosis and astrocyte polarization
Anna Bafico coauthored a mechanistic classification of growth factors and their receptors. The account treats a growth-factor family as a collection of related signal molecules with distinguishable receptor interactions, rather than as a single interchangeable stimulus.[ref]
Classification of Growth Factors and Their Receptors by Anna Bafico and Stuart A. Aaronson. 2003, Platelet-Derived Growth Factor Family and Fibroblast Growth Factor Family
For example, related growth-factor chains can assemble into different dimers. Their receptor recognition and target-cell context help determine the biological response. This provides a useful bridge between protein structure, signal transduction and the regulation of cell proliferation.
Stuart A. Aaronson studies the connection between growth factors, their receptors and cancer. His coauthored account of growth-factor families distinguishes extracellular signal molecules from the receptors that recognize them and transmit signals into a cell. The distinction explains how an alteration of a receptor can change proliferation even without an increase in its ligand.[ref]
Classification of Growth Factors and Their Receptors by Anna Bafico and Stuart A. Aaronson. 2003, growth-factor families and growth-factor receptor classes
The scientific connection is between normal growth regulation and oncogene action: a signaling pathway that normally responds to tissue needs can contribute to inappropriate cell growth when its control is disrupted.
Portrait of Stuart A. Aaronson
. Identified National Cancer Institute portrait, image 8199, hosted by Wikimedia Commons. Source.Mikio Furuse investigated the molecular construction of tight junctions. In a 1998 study, introducing claudin-1 or claudin-2 into fibroblasts that normally lack tight junctions produced networks of junction-like strands at contacts between cells. Immunofluorescence located the introduced proteins, while freeze-fracture imaging revealed the strand architecture.[ref]
Joanne F. Berson led a 2001 study of how Pmel17 helps form premelanosomes, the developing compartments in which melanin is deposited. The researchers followed processing and localization of the protein, then expressed it in nonpigmented cells. Expression alone initiated characteristic internal striations within multivesicular bodies.[ref]
Pmel17 initiates premelanosome morphogenesis within multivesicular bodies by Joanne F. Berson and others. Abstract: post-Golgi processing and striation formation
That reconstruction addressed causation more directly than finding Pmel17 beside existing pigment: a normally nonpigmented cell acquired part of the specialized internal architecture after the protein was introduced. It established a role in compartment construction without implying that one protein recreates every step of pigment production.
Daiju Kitagawa led work explaining the ninefold organization of centrioles through interactions between SAS-6 molecules. The 2011 study combined structural analysis, biochemical assembly and cellular experiments: rod-shaped dimers associated through their ends, and disrupting the relevant association impaired centriole formation.[ref]
Structural basis of the 9-fold symmetry of centrioles by Daiju Kitagawa and others. Summary: SAS-6 oligomerization and centriole formation
A model built from the related Chlamydomonas reinhardtii protein placed nine dimers in a ring with spokes extending outward. Recombinant protein also formed cartwheel-like assemblies. The work connects a repeated protein structure to the larger geometry of an organelle, rather than treating its symmetry as an unexplained cellular pattern.[ref]
Structural basis of the 9-fold symmetry of centrioles by Daiju Kitagawa and others. Summary and structural model of Bld12p
X. Liu (apoptosis researcher) is the first author of the 1996 paper reconstructing aspects of apoptosis in cell-free extracts. Fractionation identified a requirement for cytochrome c together with deoxyadenosine triphosphate; removal of cytochrome c diminished the apoptotic response, and adding it back restored activity.[ref]
Induction of apoptotic program in cell-free extracts: requirement for dATP and cytochrome c by X. Liu and others. Abstract: extract fractionation, immunodepletion and add-back
This experiment connected a protein associated with mitochondria to activation of a cellular death program. Removing and restoring one component is especially informative because it tests a biochemical requirement within the extract. The paper's indexed byline is X. Liu; this entry does not infer a full identity from those initials.
P. A. Janmey investigated how networks of cytoskeletal proteins bear mechanical loads. A 1991 study compared purified actin, tubulin and vimentin assemblies under deformation. The networks differed in stiffness and resistance to disruption, with vimentin networks especially able to withstand large deformations.[ref]
Viscoelastic properties of vimentin compared with other filamentous biopolymer networks by P. A. Janmey and others. Abstract and pp. 155–160: parallel viscoelastic measurements
The comparison separated the mechanical properties of a filament network from the complexity of an intact cell. A material's response to a small deformation does not completely predict whether it survives a large one. This connects cytoskeleton composition to the distinct questions of stiffness, viscoelasticity and mechanical resilience.
Portrait of P. A. Janmey
. Identified University of Pennsylvania physiology portrait; institutional profile describes cytoskeletal rheology research. Source.Richard Rodewald investigated selective transport of maternal antibodies across the newborn rat intestine. His 1973 study followed ferritin-linked immunoglobulins and antiperoxidase antibodies through intestinal epithelial cells, using tracer localization to distinguish selective uptake from nonspecific entry.[ref]
Intestinal transport of antibodies in the newborn rat by Richard Rodewald. Abstract and Discussion, pp. 202–205: immunoglobulin tracers and transport controls
In proximal intestinal cells, suitable antibodies bound at the apical surface and entered transport vesicles. Contrasting tracers and intestinal regions helped show that a molecule entering a cell is not necessarily carried into the circulation. The experiment made the route and selectivity of transcytosis visible, rather than relying only on a final blood concentration.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact










