Beker & Co.

29/05/2026

OpenAI’s AI model has autonomously disproved a major long-standing mathematical conjecture.

The conjecture in question is Paul Erdős’ Unit Distance Problem (posed in 1946) — one of the central open problems in discrete geometry. It asks: given n points in the plane, what is the maximum number of pairs that can be exactly distance 1 apart?

For nearly 80 years, mathematicians believed the optimal configurations were based on simple grid-like structures, with the number of unit distances growing only slightly faster than linear.

OpenAI’s model has now shown this is not the case. It discovered an infinite family of configurations that produce asymptotically more unit distances — achieving a genuine polynomial improvement over previous bounds.

What makes this breakthrough especially remarkable is the method: the proof draws on sophisticated tools from algebraic number theory, including class field towers and the Golod–Shafarevich theorem — areas far removed from classical plane geometry.

Independent mathematicians have reviewed and confirmed the validity of the result.

This represents one of the strongest examples to date of AI moving beyond assisting researchers to generating original, verifiable contributions in fundamental mathematics.

Full announcement from OpenAI:�https://openai.com/index/model-disproves-discrete-geometry-conjecture/

An OpenAI model solved the 80-year-old unit distance problem, disproving a major conjecture in discrete geometry and marking a milestone in AI-driven mathematics.

15/04/2026

Ukraine is not a burden for Europe — it is one of the most important pillars of future European security.

Just watched this excellent interview with Anders Nielsen, military analyst at the Danish Royal Defence College.

His analysis is sharp, data-driven, and refreshingly free of wishful thinking:
• Ukraine is not “weak” or a liability. It fields the second-largest army in Europe (after Russia) and possesses the most combat-hardened, battle-tested force on the continent.
• Geography makes Ukraine indispensable. Its long borders with both Russia and Belarus turn the country into a natural shield for the Baltic states and the vulnerable Suwalki corridor. In any future conflict, Ukraine’s territory flips the map: Belarus becomes exposed from the south, west, and northwest.
• Traditional NATO consensus may never deliver full membership for Ukraine. Nielsen proposes something pragmatic and powerful: a new European defence alliance with mutual Article-5-style guarantees — European troops in Ukraine, Ukrainian troops ready to defend Lithuania or Poland if needed.
• Most importantly, Ukraine brings something many NATO members currently lack: unmatched resolve. No other country has demonstrated such determination in the face of Russian aggression.

This is not abstract strategy — it’s the hard reality we live and work with every day in Ukraine.

The same pressure that forces weekly innovation cycles in drones, EW, and data fusion is also forging the kind of military culture and national will that Europe will desperately need in the coming decade.

Ukraine isn’t asking to be carried. It is offering a battle-proven army, strategic depth, and the kind of determination that turns alliances into real deterrents.

Highly recommended watch for anyone in defence policy, European security, or miltech.
Full interview (with English subtitles):
https://youtu.be/i4g8rp6aOgc

Ukraine's significance in European security is often overlooked in discussions about the future of NATO. In this video, I discuss why both Ukraine's military...

16/03/2026

They say one person can’t change much.
In reality, the right person in the right place can change a lot.

A good example is Ukraine’s new Defense Minister, Mykhailo Fedorov.

In just a few months, there are already visible changes. The Ministry of Defense of Ukraine 🇺🇦 is becoming more structured, more digital, and more responsive to the needs of the battlefield.

The interception rate of missiles and attack drones has increased, Ukrainian forces are receiving drones in the quantities they actually need, and adversary connectivity advantages—such as unauthorized Starlink usage—are finally being addressed.

At the front we are finally gaining ground, taking back land and driving enemy back, winning. Big things have small beginnings.

Just as importantly, a new culture is emerging in the MOD: digitalization, faster decision-making, and a younger generation of capable professionals stepping into leadership roles.

These changes are not abstract—they are visible on the front lines. And that’s what ultimately matters.

Sometimes progress simply comes down to having the right people doing their jobs well, focusing on results rather than titles or perks.

Respect where it’s due. Respect to . 🇺🇦

09/12/2025

The event last week, by Brave1, which we attended, Brave1 Components has really put a spotlight on what Ukraine has build in terms of a secondary supply side industry on a truly strategic scale. Ukraine is now manufacturing sub components, digging deeper and rolling out innovations faster and significantly better that China 🇨🇳 in most cases.

Ukrainian ingenuity, national pride and bravery has done what no aggressor could, it ignited a movement and now Ukraine can defend itself and show the world how we have done it.

04/07/2025

🇺🇸🇺🇦 Today is the Fourth of July—a day to celebrate American independence and freedom.

But this year, our hearts are heavy.

Just yesterday, we learned that the United States halted a shipment of weapons to Ukraine—right as Kyiv faced one of the most devastating attacks in recent memory.

As ballistic missiles and hundreds of drones rain down on our cities, this is the worst possible time to pause critical aid. Ukrainians are fighting for their survival, for their freedom, and for the very values Americans celebrate today.

We call on our American friends and partners to stand firm with Ukraine. Freedom is never free—and today, more than ever, we need solidarity, courage, and resolve.

Happy Fourth of July. Let’s honor it by defending freedom everywhere.

27/04/2025

Unlocking Power of Ukrainian Defence Tech 🇺🇦

The Ukrainian defence tech industry is booming with innovation, producing cutting-edge solutions like unjammable drones, AI-driven 3D modeling, and anti-drone systems—battle-tested in the most intense conditions.

In 2024 alone, Ukraine built 1.5 million FPV drones and saw its defence tech startups more than double to 1,500.

Yet, foreign investors are missing out on this goldmine. With just $25M invested last year, opportunities for game-changing partnerships remain untapped.

Ukrainian firms are eager to collaborate, bringing frontline insights that Western companies can’t replicate in peacetime.

From military breakthroughs to civil applications like environmental monitoring, the potential is limitless.

Partnering with Ukraine’s defence tech sector isn’t just about innovation—it’s about shaping the future of global security. Let’s bridge the gap and turn “Battle-tested in Ukraine” into a global standard.

Read more: The Underexploited Potential of Ukrainian Defence Tech
https://www.aspistrategist.org.au/the-underexploited-potential-of-ukrainian-defence-tech/

Western companies and entrepreneurs are largely missing a chance to invest in the thriving and innovative Ukrainian defence tech industry and take its experience back to their home markets. Failure of foreign investors to put ...

15/03/2025

M-FLY’s latest $1.3M raise—backed by BRAVE1, smart money (Resist.UA, Freedom Fund), MITS Capital) and top angel investors—marks a pivotal moment for this Ukrainian defense tech innovator, and as an advisor, I’m energized by what’s unfolding.

Beyond their UAV laser guidance systems reshaping battlefield precision for modern drone warfare, their highly stabilized gimbal technology stands out as a dual-use gem.

Built to withstand battlefield conditions, it’s primed for civilian applications—think border patrol, surveillance, and infrastructure monitoring.

Kudos to the founders Vladyslav & Slava and the team, whose vision and ex*****on are driving this success.



https://therecursive.com/ukrainian-defense-tech-startup-m-fly-raises-e1-19m-uav-laser-guidance/

Ukrainian defense tech startup M-FLY has locked a new round from investors and grants to develop advanced EW-resistant laser guidance systems for UAVs and

30/12/2024

Merry Christmas and Happy New Year 🎈

20/05/2024

Thrilled to share our experience attending the Ukrainian Korean New Construction Association event.

Korea has already announced $2.3 billion in aid, highlighting the significant economic potential for our cooperation.

Korea’s support can help Ukrainian companies reach new sales markets and avenues of financing during these hard times.

This partnership is a game-changer for Ukraine, offering immense opportunities for growth and development. Excited about the future collaborations and projects ahead! 🚀



Beker & Co.
Ukraine Investment Promotion Office
Nazarii Volianskyi

Previous News on Korean Loan Facility:
https://lnkd.in/dJ6kpH5F

05/05/2024

Ukraine 🇺🇦

In a bold move to boost business and drive economic recovery, the NBU has announced its largest easing of foreign exchange restrictions since the onset of conflict.

Key highlights include:
- the abolishment of currency restrictions for imports
- enabling repatriation of dividends
- easing transfer of funds abroad
- repayment of external loans
- transfer of foreign currency from representative offices.

A significant step towards fostering a conducive environment for business growth and attracting new investments to Ukraine.

The National Bank of Ukraine (NBU) announces the implementation of the largest package of easing foreign exchange restrictions for enterprises since the beginning of a full-scale war in order to improve the conditions for doing business in Ukraine and the entry of domestic businesses into new market...